816151236004440 has 960 divisors, whose sum is σ = 3364604892000000. Its totient is φ = 176435060046336.

The previous prime is 816151236004397. The next prime is 816151236004513. The reversal of 816151236004440 is 44400632151618.

816151236004440 is a `hidden beast` number, since 8 + 1 + 6 + 15 + 1 + 23 + 600 + 4 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×816151236004440² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1806621711 + ... + 1807073409.

It is an arithmetic number, because the mean of its divisors is an integer number (3504796762500).

Almost surely, 2^{816151236004440} 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 816151236004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682302446000000).

816151236004440 is an abundant number, since it is smaller than the sum of its proper divisors (2548453655995560).

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

816151236004440 is a wasteful number, since it uses less digits than its factorization.

816151236004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452354 (or 452334 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 816151236004440 in words is "eight hundred sixteen trillion, one hundred fifty-one billion, two hundred thirty-six million, four thousand, four hundred forty".