416315259360 has 2304 divisors, whose sum is σ = 2085938749440. Its totient is φ = 75515535360.

The previous prime is 416315259323. The next prime is 416315259391. The reversal of 416315259360 is 63952513614.

416315259360 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 1 + 52 + 593 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 739458439 + ... + 739459001.

It is an arithmetic number, because the mean of its divisors is an integer number (905355360).

Almost surely, 2^416315259360 is an apocalyptic number.

416315259360 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 416315259360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042969374720).

416315259360 is an abundant number, since it is smaller than the sum of its proper divisors (1669623490080).

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

416315259360 is a wasteful number, since it uses less digits than its factorization.

416315259360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 416315259360 in words is "four hundred sixteen billion, three hundred fifteen million, two hundred fifty-nine thousand, three hundred sixty".