40466411955200 has 528 divisors, whose sum is σ = 128439152951424. Its totient is φ = 12271996108800.

The previous prime is 40466411955199. The next prime is 40466411955217. The reversal of 40466411955200 is 255911466404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72656984 + ... + 73211816.

Almost surely, 2^{40466411955200} is an apocalyptic number.

40466411955200 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 40466411955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64219576475712).

40466411955200 is an abundant number, since it is smaller than the sum of its proper divisors (87972740996224).

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

40466411955200 is a wasteful number, since it uses less digits than its factorization.

40466411955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554918 (or 554895 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 40466411955200 in words is "forty trillion, four hundred sixty-six billion, four hundred eleven million, nine hundred fifty-five thousand, two hundred".