415163750496 has 288 divisors, whose sum is σ = 1287320065920. Its totient is φ = 116635791360.

The previous prime is 415163750473. The next prime is 415163750537. The reversal of 415163750496 is 694057361514.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13214935 + ... + 13246313.

It is an arithmetic number, because the mean of its divisors is an integer number (4469861340).

Almost surely, 2^415163750496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415163750496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643660032960).

415163750496 is an abundant number, since it is smaller than the sum of its proper divisors (872156315424).

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

415163750496 is a wasteful number, since it uses less digits than its factorization.

415163750496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31498 (or 31479 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 415163750496 in words is "four hundred fifteen billion, one hundred sixty-three million, seven hundred fifty thousand, four hundred ninety-six".