416298715920 has 280 divisors, whose sum is σ = 1536544987416. Its totient is φ = 104482566144.

The previous prime is 416298715919. The next prime is 416298715981. The reversal of 416298715920 is 29517892614.

It is a happy number.

416298715920 is a `hidden beast` number, since 4 + 1 + 629 + 8 + 7 + 1 + 5 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114344069904 + 301954646016 = 338148^2 + 549504^2 .

It is a super-2 number, since 2×416298715920² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 781494 + ... + 1201386.

Almost surely, 2^416298715920 is an apocalyptic number.

416298715920 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 416298715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768272493708).

416298715920 is an abundant number, since it is smaller than the sum of its proper divisors (1120246271496).

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

416298715920 is a wasteful number, since it uses less digits than its factorization.

416298715920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419941 (or 419920 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 416298715920 in words is "four hundred sixteen billion, two hundred ninety-eight million, seven hundred fifteen thousand, nine hundred twenty".