157920403914 has 288 divisors, whose sum is σ = 470833534080. Its totient is φ = 37740536064.

The previous prime is 157920403909. The next prime is 157920403951. The reversal of 157920403914 is 419304029751.

157920403914 is a `hidden beast` number, since 1 + 57 + 9 + 204 + 0 + 391 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 157920403914.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4994884 + ... + 5026400.

It is an arithmetic number, because the mean of its divisors is an integer number (1634838660).

Almost surely, 2^157920403914 is an apocalyptic number.

157920403914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157920403914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235416767040).

157920403914 is an abundant number, since it is smaller than the sum of its proper divisors (312913130166).

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

157920403914 is a wasteful number, since it uses less digits than its factorization.

157920403914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31594 (or 31584 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 157920403914 in words is "one hundred fifty-seven billion, nine hundred twenty million, four hundred three thousand, nine hundred fourteen".