40460720774112 has 384 divisors, whose sum is σ = 119194671052800. Its totient is φ = 13352511744000.

The previous prime is 40460720774093. The next prime is 40460720774119. The reversal of 40460720774112 is 21147702706404.

40460720774112 is a `hidden beast` number, since 4 + 0 + 4 + 607 + 20 + 7 + 7 + 4 + 1 + 12 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40460720774119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31099707862 + ... + 31099709162.

It is an arithmetic number, because the mean of its divisors is an integer number (310402789200).

Almost surely, 2^{40460720774112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40460720774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59597335526400).

40460720774112 is an abundant number, since it is smaller than the sum of its proper divisors (78733950278688).

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

40460720774112 is a wasteful number, since it uses less digits than its factorization.

40460720774112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 40460720774112 in words is "forty trillion, four hundred sixty billion, seven hundred twenty million, seven hundred seventy-four thousand, one hundred twelve".