40379709686400 has 576 divisors, whose sum is σ = 170766313798080. Its totient is φ = 9229646684160.

The previous prime is 40379709686299. The next prime is 40379709686411. The reversal of 40379709686400 is 468690797304.

40379709686400 is a `hidden beast` number, since 4 + 0 + 3 + 79 + 70 + 96 + 8 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1734012 + ... + 9152388.

Almost surely, 2^{40379709686400} is an apocalyptic number.

40379709686400 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 40379709686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85383156899040).

40379709686400 is an abundant number, since it is smaller than the sum of its proper divisors (130386604111680).

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

40379709686400 is an equidigital number, since it uses as much as digits as its factorization.

40379709686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418423 (or 7418394 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 40379709686400 in words is "forty trillion, three hundred seventy-nine billion, seven hundred nine million, six hundred eighty-six thousand, four hundred".