8400743821344 has 72 divisors (see below), whose sum is σ = 25652271325968. Its totient is φ = 2400212519040.

The previous prime is 8400743821333. The next prime is 8400743821357. The reversal of 8400743821344 is 4431283470048.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8400743821293 and 8400743821302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892931502 + ... + 892940909.

It is an arithmetic number, because the mean of its divisors is an integer number (356281546194).

Almost surely, 2^{8400743821344} is an apocalyptic number.

8400743821344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8400743821344 is an abundant number, since it is smaller than the sum of its proper divisors (17251527504624).

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

8400743821344 is a wasteful number, since it uses less digits than its factorization.

8400743821344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785872438 (or 1785872423 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 8400743821344 in words is "eight trillion, four hundred billion, seven hundred forty-three million, eight hundred twenty-one thousand, three hundred forty-four".