40413014691840 has 1664 divisors, whose sum is σ = 169423954560000. Its totient is φ = 8945657708544.

The previous prime is 40413014691827. The next prime is 40413014691857. The reversal of 40413014691840 is 4819641031404.

40413014691840 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 3 + 0 + 1 + 469 + 184 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38525275636 + ... + 38525276684.

Almost surely, 2^{40413014691840} is an apocalyptic number.

40413014691840 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 40413014691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84711977280000).

40413014691840 is an abundant number, since it is smaller than the sum of its proper divisors (129010939868160).

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

40413014691840 is a wasteful number, since it uses less digits than its factorization.

40413014691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40413014691840 in words is "forty trillion, four hundred thirteen billion, fourteen million, six hundred ninety-one thousand, eight hundred forty".