40557966321600 has 7056 divisors, whose sum is σ = 210155078901600. Its totient is φ = 7630025195520.

The previous prime is 40557966321589. The next prime is 40557966321623. The reversal of 40557966321600 is 612366975504.

40557966321600 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 7 + 9 + 6 + 6 + 3 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 2134629806391 + ... + 2134629806409.

Almost surely, 2^{40557966321600} is an apocalyptic number.

40557966321600 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 40557966321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105077539450800).

40557966321600 is an abundant number, since it is smaller than the sum of its proper divisors (169597112580000).

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

40557966321600 is a wasteful number, since it uses less digits than its factorization.

40557966321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 40557966321600 in words is "forty trillion, five hundred fifty-seven billion, nine hundred sixty-six million, three hundred twenty-one thousand, six hundred".