400347753415464 has 128 divisors (see below), whose sum is σ = 1026456114055680. Its totient is φ = 130062589747200.

The previous prime is 400347753415451. The next prime is 400347753415471. The reversal of 400347753415464 is 464514357743004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277392024 + ... + 278831544.

It is an arithmetic number, because the mean of its divisors is an integer number (8019188391060).

Almost surely, 2^{400347753415464} 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 400347753415464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513228057027840).

400347753415464 is an abundant number, since it is smaller than the sum of its proper divisors (626108360640216).

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

400347753415464 is a wasteful number, since it uses less digits than its factorization.

400347753415464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440611 (or 1440607 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 57.

The spelling of 400347753415464 in words is "four hundred trillion, three hundred forty-seven billion, seven hundred fifty-three million, four hundred fifteen thousand, four hundred sixty-four".