40628229158160 has 960 divisors, whose sum is σ = 169774273751040. Its totient is φ = 8894171381760.

The previous prime is 40628229158119. The next prime is 40628229158173. The reversal of 40628229158160 is 6185192282604.

40628229158160 is a `hidden beast` number, since 4 + 0 + 628 + 2 + 2 + 9 + 1 + 5 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40628229158097 and 40628229158106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 318197052 + ... + 318324708.

It is an arithmetic number, because the mean of its divisors is an integer number (176848201824).

Almost surely, 2^{40628229158160} is an apocalyptic number.

40628229158160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40628229158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84887136875520).

40628229158160 is an abundant number, since it is smaller than the sum of its proper divisors (129146044592880).

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

40628229158160 is a wasteful number, since it uses less digits than its factorization.

40628229158160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127821 (or 127802 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 40628229158160 in words is "forty trillion, six hundred twenty-eight billion, two hundred twenty-nine million, one hundred fifty-eight thousand, one hundred sixty".