416772130320 has 1440 divisors, whose sum is σ = 1863186998400. Its totient is φ = 83011848192.

The previous prime is 416772130309. The next prime is 416772130387. The reversal of 416772130320 is 23031277614.

416772130320 is a `hidden beast` number, since 416 + 7 + 7 + 213 + 0 + 3 + 20 = 666.

It is a super-2 number, since 2×416772130320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1472692899 + ... + 1472693181.

It is an arithmetic number, because the mean of its divisors is an integer number (1293879860).

Almost surely, 2^416772130320 is an apocalyptic number.

416772130320 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 416772130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931593499200).

416772130320 is an abundant number, since it is smaller than the sum of its proper divisors (1446414868080).

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

416772130320 is a wasteful number, since it uses less digits than its factorization.

416772130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 416772130320 in words is "four hundred sixteen billion, seven hundred seventy-two million, one hundred thirty thousand, three hundred twenty".