496315940400 has 1080 divisors, whose sum is σ = 2104226972640. Its totient is φ = 106092011520.

The previous prime is 496315940387. The next prime is 496315940441. The reversal of 496315940400 is 4049513694.

496315940400 is a `hidden beast` number, since 4 + 9 + 631 + 5 + 9 + 4 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 809650494 + ... + 809651106.

It is an arithmetic number, because the mean of its divisors is an integer number (1948358308).

Almost surely, 2^496315940400 is an apocalyptic number.

496315940400 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 496315940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052113486320).

496315940400 is an abundant number, since it is smaller than the sum of its proper divisors (1607911032240).

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

496315940400 is a wasteful number, since it uses less digits than its factorization.

496315940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 496315940400 in words is "four hundred ninety-six billion, three hundred fifteen million, nine hundred forty thousand, four hundred".