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40668281472 = 2737213166259
BaseRepresentation
bin100101111000000001…
…001011101010000000
310212222020112202100010
4211320001023222000
51131242040001342
630403250224520
72636540455200
oct457001135200
9125866482303
1040668281472
111627a203885
127a6b885140
133ab16676a0
141d7b24a400
1510d04e129c
hex97804ba80

40668281472 has 192 divisors, whose sum is σ = 135328989600. Its totient is φ = 10725636096.

The previous prime is 40668281453. The next prime is 40668281497. The reversal of 40668281472 is 27418286604.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161479 + ... + 327737.

Almost surely, 240668281472 is an apocalyptic number.

40668281472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40668281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67664494800).

40668281472 is an abundant number, since it is smaller than the sum of its proper divisors (94660708128).

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

40668281472 is a wasteful number, since it uses less digits than its factorization.

40668281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166303 (or 166284 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 40668281472 in words is "forty billion, six hundred sixty-eight million, two hundred eighty-one thousand, four hundred seventy-two".