40113670564800 has 3360 divisors, whose sum is σ = 182183638151680. Its totient is φ = 8489451110400.

The previous prime is 40113670564787. The next prime is 40113670564873. The reversal of 40113670564800 is 846507631104.

40113670564800 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 3 + 6 + 7 + 0 + 564 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 255501086322 + ... + 255501086478.

Almost surely, 2^{40113670564800} is an apocalyptic number.

40113670564800 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 40113670564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91091819075840).

40113670564800 is an abundant number, since it is smaller than the sum of its proper divisors (142069967586880).

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

40113670564800 is an equidigital number, since it uses as much as digits as its factorization.

40113670564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40113670564800 in words is "forty trillion, one hundred thirteen billion, six hundred seventy million, five hundred sixty-four thousand, eight hundred".