40567863974400 has 2160 divisors, whose sum is σ = 176405485576320. Its totient is φ = 8718498201600.

The previous prime is 40567863974389. The next prime is 40567863974401. The reversal of 40567863974400 is 447936876504.

It is a happy number.

40567863974400 is a `hidden beast` number, since 4 + 0 + 5 + 67 + 86 + 3 + 97 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40567863974401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26021720821 + ... + 26021722379.

Almost surely, 2^{40567863974400} is an apocalyptic number.

40567863974400 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 40567863974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88202742788160).

40567863974400 is an abundant number, since it is smaller than the sum of its proper divisors (135837621601920).

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

40567863974400 is a wasteful number, since it uses less digits than its factorization.

40567863974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 40567863974400 in words is "forty trillion, five hundred sixty-seven billion, eight hundred sixty-three million, nine hundred seventy-four thousand, four hundred".