40404661315200 has 4608 divisors, whose sum is σ = 192846990336000. Its totient is φ = 8295959347200.

The previous prime is 40404661315159. The next prime is 40404661315219. The reversal of 40404661315200 is 251316640404.

40404661315200 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 4 + 6 + 613 + 15 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 149094691065 + ... + 149094691335.

Almost surely, 2^{40404661315200} is an apocalyptic number.

40404661315200 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 40404661315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96423495168000).

40404661315200 is an abundant number, since it is smaller than the sum of its proper divisors (152442329020800).

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

40404661315200 is a wasteful number, since it uses less digits than its factorization.

40404661315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 40404661315200 its reverse (251316640404), we get a palindrome (40655977955604).

The spelling of 40404661315200 in words is "forty trillion, four hundred four billion, six hundred sixty-one million, three hundred fifteen thousand, two hundred".