40554965613600 has 1296 divisors, whose sum is σ = 157431895901280. Its totient is φ = 9791141068800.

The previous prime is 40554965613551. The next prime is 40554965613601. The reversal of 40554965613600 is 631656945504.

40554965613600 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 49 + 6 + 561 + 36 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (40554965613601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12994220040 + ... + 12994223160.

Almost surely, 2^{40554965613600} is an apocalyptic number.

40554965613600 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 40554965613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78715947950640).

40554965613600 is an abundant number, since it is smaller than the sum of its proper divisors (116876930287680).

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

40554965613600 is a wasteful number, since it uses less digits than its factorization.

40554965613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 40554965613600 in words is "forty trillion, five hundred fifty-four billion, nine hundred sixty-five million, six hundred thirteen thousand, six hundred".