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41401859400 = 2333521167101103
BaseRepresentation
bin100110100011101111…
…100011110101001000
310221212100220101002000
4212203233203311020
51134242334000100
631004133311000
72663655666306
oct464357436510
9127770811060
1041401859400
11166162a7830
128035495460
133b9a632475
14200a845276
151124ae7900
hex9a3be3d48

41401859400 has 768 divisors, whose sum is σ = 161003980800. Its totient is φ = 9694080000.

The previous prime is 41401859399. The next prime is 41401859453. The reversal of 41401859400 is 495810414.

It is a super-2 number, since 2×414018594002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401959749 + ... + 401959851.

It is an arithmetic number, because the mean of its divisors is an integer number (209640600).

Almost surely, 241401859400 is an apocalyptic number.

41401859400 is a gapful number since it is divisible by the number (40) 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 41401859400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80501990400).

41401859400 is an abundant number, since it is smaller than the sum of its proper divisors (119602121400).

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

41401859400 is a wasteful number, since it uses less digits than its factorization.

41401859400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 41401859400 in words is "forty-one billion, four hundred one million, eight hundred fifty-nine thousand, four hundred".