8072007333440 has 112 divisors (see below), whose sum is σ = 19249685910000. Its totient is φ = 3224066260992.

The previous prime is 8072007333437. The next prime is 8072007333457. The reversal of 8072007333440 is 443337002708.

It can be written as a sum of positive squares in 8 ways, for example, as 1372234187776 + 6699773145664 = 1171424^2 + 2588392^2 .

It is a super-2 number, since 2×8072007333440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811333586 + ... + 811343534.

It is an arithmetic number, because the mean of its divisors is an integer number (171872195625).

Almost surely, 2^{8072007333440} is an apocalyptic number.

8072007333440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8072007333440 is an abundant number, since it is smaller than the sum of its proper divisors (11177678576560).

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

8072007333440 is a wasteful number, since it uses less digits than its factorization.

8072007333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The spelling of 8072007333440 in words is "eight trillion, seventy-two billion, seven million, three hundred thirty-three thousand, four hundred forty".