8400440092512 has 96 divisors (see below), whose sum is σ = 23853889317888. Its totient is φ = 2573159901696.

The previous prime is 8400440092487. The next prime is 8400440092519. The reversal of 8400440092512 is 2152900440048.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400440092519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14813898 + ... + 15370505.

It is an arithmetic number, because the mean of its divisors is an integer number (248478013728).

Almost surely, 2^{8400440092512} is an apocalyptic number.

It is an amenable number.

8400440092512 is an abundant number, since it is smaller than the sum of its proper divisors (15453449225376).

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

8400440092512 is a wasteful number, since it uses less digits than its factorization.

8400440092512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30184652 (or 30184644 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 8400440092512 in words is "eight trillion, four hundred billion, four hundred forty million, ninety-two thousand, five hundred twelve".