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4000448080480 = 255125131199813
BaseRepresentation
bin111010001101101101010…
…010010110101001100000
3112011102212002211112210111
4322031231102112221200
51011020404202033410
612301440325541104
7562010555426155
oct72155522265140
915142762745714
104000448080480
111302642717115
12547391b74794
132303188a2807
14db8a0a5c22c
156e0da4b9b8a
hex3a36d496a60

4000448080480 has 48 divisors (see below), whose sum is σ = 9451181419344. Its totient is φ = 1600158435840.

The previous prime is 4000448080471. The next prime is 4000448080583. The reversal of 4000448080480 is 840808440004.

It is a super-2 number, since 2×40004480804802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19921054 + ... + 20120866.

It is an arithmetic number, because the mean of its divisors is an integer number (196899612903).

Almost surely, 24000448080480 is an apocalyptic number.

4000448080480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000448080480 is an abundant number, since it is smaller than the sum of its proper divisors (5450733338864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000448080480 is a wasteful number, since it uses less digits than its factorization.

4000448080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324959 (or 324951 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 4000448080480 in words is "four trillion, four hundred forty-eight million, eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 125131 199813 250262 399626 500524 625655 799252 999065 1001048 1251310 1598504 1998130 2002096 2502620 3197008 3996260 4004192 5005240 6394016 7992520 10010480 15985040 20020960 31970080 25002800503 50005601006 100011202012 125014002515 200022404024 250028005030 400044808048 500056010060 800089616096 1000112020120 2000224040240 4000448080480