157407340302400 has 168 divisors, whose sum is σ = 390499870337280. Its totient is φ = 62446635264000.

The previous prime is 157407340302391. The next prime is 157407340302469. The reversal of 157407340302400 is 4203043704751.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368472930 + ... + 368899870.

Almost surely, 2^{157407340302400} is an apocalyptic number.

157407340302400 is a gapful number since it is divisible by the number (10) 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 157407340302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195249935168640).

157407340302400 is an abundant number, since it is smaller than the sum of its proper divisors (233092530034880).

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

157407340302400 is a wasteful number, since it uses less digits than its factorization.

157407340302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428853 (or 428838 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 157407340302400 in words is "one hundred fifty-seven trillion, four hundred seven billion, three hundred forty million, three hundred two thousand, four hundred".