157340413440 has 800 divisors, whose sum is σ = 654976453824. Its totient is φ = 35354050560.

The previous prime is 157340413403. The next prime is 157340413499. The reversal of 157340413440 is 44314043751.

157340413440 is a `hidden beast` number, since 1 + 573 + 4 + 0 + 41 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157340413395 and 157340413404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88541832 + ... + 88543608.

Almost surely, 2^157340413440 is an apocalyptic number.

157340413440 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 157340413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327488226912).

157340413440 is an abundant number, since it is smaller than the sum of its proper divisors (497636040384).

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

157340413440 is an equidigital number, since it uses as much as digits as its factorization.

157340413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 157340413440 in words is "one hundred fifty-seven billion, three hundred forty million, four hundred thirteen thousand, four hundred forty".