40346591313600 has 5040 divisors, whose sum is σ = 191839594146816. Its totient is φ = 8223399936000.

The previous prime is 40346591313571. The next prime is 40346591313643. The reversal of 40346591313600 is 631319564304.

It is a happy number.

40346591313600 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 6 + 5 + 9 + 1 + 31 + 3 + 600 = 666.

40346591313600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1301502945585 + ... + 1301502945615.

Almost surely, 2^{40346591313600} is an apocalyptic number.

40346591313600 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 40346591313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95919797073408).

40346591313600 is an abundant number, since it is smaller than the sum of its proper divisors (151493002833216).

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

40346591313600 is a wasteful number, since it uses less digits than its factorization.

40346591313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 40346591313600 in words is "forty trillion, three hundred forty-six billion, five hundred ninety-one million, three hundred thirteen thousand, six hundred".