157400230026240 has 1408 divisors, whose sum is σ = 622644341760000. Its totient is φ = 37542179635200.

The previous prime is 157400230026187. The next prime is 157400230026287. The reversal of 157400230026240 is 42620032004751.

157400230026240 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 0 + 0 + 23 + 0 + 0 + 2 + 624 + 0 = 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 = 157400230026195 and 157400230026204.

It is a congruent number.

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, 3338334186 + ... + 3338381334.

Almost surely, 2^{157400230026240} is an apocalyptic number.

157400230026240 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 157400230026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311322170880000).

157400230026240 is an abundant number, since it is smaller than the sum of its proper divisors (465244111733760).

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

157400230026240 is a wasteful number, since it uses less digits than its factorization.

157400230026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47274 (or 47250 counting only the distinct ones).

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

The spelling of 157400230026240 in words is "one hundred fifty-seven trillion, four hundred billion, two hundred thirty million, twenty-six thousand, two hundred forty".