416275136172 has 576 divisors, whose sum is σ = 1415458437120. Its totient is φ = 104154107904.

The previous prime is 416275136161. The next prime is 416275136213. The reversal of 416275136172 is 271631572614.

416275136172 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 7 + 513 + 61 + 72 = 666.

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, 98431354 + ... + 98435582.

It is an arithmetic number, because the mean of its divisors is an integer number (2457393120).

Almost surely, 2^416275136172 is an apocalyptic number.

416275136172 is a gapful number since it is divisible by the number (42) 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 416275136172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707729218560).

416275136172 is an abundant number, since it is smaller than the sum of its proper divisors (999183300948).

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

416275136172 is a wasteful number, since it uses less digits than its factorization.

416275136172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4318 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 416275136172 in words is "four hundred sixteen billion, two hundred seventy-five million, one hundred thirty-six thousand, one hundred seventy-two".