40007273611320 has 384 divisors, whose sum is σ = 139640941440000. Its totient is φ = 9897504583680.

The previous prime is 40007273611307. The next prime is 40007273611363. The reversal of 40007273611320 is 2311637270004.

40007273611320 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 7 + 2 + 7 + 3 + 611 + 32 + 0 = 666.

It is a super-2 number, since 2×40007273611320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3345363501 + ... + 3345375459.

It is an arithmetic number, because the mean of its divisors is an integer number (363648285000).

Almost surely, 2^{40007273611320} is an apocalyptic number.

40007273611320 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 40007273611320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69820470720000).

40007273611320 is an abundant number, since it is smaller than the sum of its proper divisors (99633667828680).

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

40007273611320 is a wasteful number, since it uses less digits than its factorization.

40007273611320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19763 (or 19756 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 40007273611320 in words is "forty trillion, seven billion, two hundred seventy-three million, six hundred eleven thousand, three hundred twenty".