40856400659200 has 432 divisors, whose sum is σ = 121828695520000. Its totient is φ = 13251737272320.

The previous prime is 40856400659183. The next prime is 40856400659203. The reversal of 40856400659200 is 295600465804.

It is not an unprimeable number, because it can be changed into a prime (40856400659203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603466951 + ... + 603534649.

Almost surely, 2^{40856400659200} is an apocalyptic number.

40856400659200 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 40856400659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60914347760000).

40856400659200 is an abundant number, since it is smaller than the sum of its proper divisors (80972294860800).

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

40856400659200 is a wasteful number, since it uses less digits than its factorization.

40856400659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68460 (or 68441 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 40856400659200 in words is "forty trillion, eight hundred fifty-six billion, four hundred million, six hundred fifty-nine thousand, two hundred".