40684940997120 has 2560 divisors, whose sum is σ = 181424273817600. Its totient is φ = 8427641241600.

The previous prime is 40684940997097. The next prime is 40684940997179. The reversal of 40684940997120 is 2179904948604.

40684940997120 is a `hidden beast` number, since 4 + 0 + 68 + 49 + 409 + 9 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 96638814510 + ... + 96638814930.

It is an arithmetic number, because the mean of its divisors is an integer number (70868856960).

Almost surely, 2^{40684940997120} is an apocalyptic number.

40684940997120 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 40684940997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90712136908800).

40684940997120 is an abundant number, since it is smaller than the sum of its proper divisors (140739332820480).

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

40684940997120 is a wasteful number, since it uses less digits than its factorization.

40684940997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 40684940997120 in words is "forty trillion, six hundred eighty-four billion, nine hundred forty million, nine hundred ninety-seven thousand, one hundred twenty".