157472161440 has 768 divisors, whose sum is σ = 591314411520. Its totient is φ = 34796666880.

The previous prime is 157472161409. The next prime is 157472161489. The reversal of 157472161440 is 44161274751.

It is a junction number, because it is equal to n+sod(n) for n = 157472161392 and 157472161401.

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, 687651246 + ... + 687651474.

It is an arithmetic number, because the mean of its divisors is an integer number (769940640).

Almost surely, 2^157472161440 is an apocalyptic number.

157472161440 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 157472161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295657205760).

157472161440 is an abundant number, since it is smaller than the sum of its proper divisors (433842250080).

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

157472161440 is a wasteful number, since it uses less digits than its factorization.

157472161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 157472161440 in words is "one hundred fifty-seven billion, four hundred seventy-two million, one hundred sixty-one thousand, four hundred forty".