157658017440 has 576 divisors, whose sum is σ = 651985407360. Its totient is φ = 31628943360.

The previous prime is 157658017381. The next prime is 157658017483. The reversal of 157658017440 is 44710856751.

It is a super-2 number, since 2×157658017440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157658017440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7492374 + ... + 7513386.

It is an arithmetic number, because the mean of its divisors is an integer number (1131919110).

Almost surely, 2^157658017440 is an apocalyptic number.

157658017440 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 157658017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325992703680).

157658017440 is an abundant number, since it is smaller than the sum of its proper divisors (494327389920).

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

157658017440 is a wasteful number, since it uses less digits than its factorization.

157658017440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21085 (or 21070 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 157658017440 in words is "one hundred fifty-seven billion, six hundred fifty-eight million, seventeen thousand, four hundred forty".