157943841440 has 768 divisors, whose sum is σ = 517321728000. Its totient is φ = 44079759360.

The previous prime is 157943841403. The next prime is 157943841457. The reversal of 157943841440 is 44148349751.

It is a super-2 number, since 2×157943841440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 359780741 + ... + 359781179.

It is an arithmetic number, because the mean of its divisors is an integer number (673596000).

Almost surely, 2^157943841440 is an apocalyptic number.

157943841440 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 157943841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258660864000).

157943841440 is an abundant number, since it is smaller than the sum of its proper divisors (359377886560).

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

157943841440 is a wasteful number, since it uses less digits than its factorization.

157943841440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 157943841440 in words is "one hundred fifty-seven billion, nine hundred forty-three million, eight hundred forty-one thousand, four hundred forty".