157982466240 has 336 divisors, whose sum is σ = 567756446400. Its totient is φ = 40244649984.

The previous prime is 157982466211. The next prime is 157982466281. The reversal of 157982466240 is 42664289751.

157982466240 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 8 + 2 + 4 + 6 + 624 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94656126 + ... + 94657794.

Almost surely, 2^157982466240 is an apocalyptic number.

157982466240 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 157982466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283878223200).

157982466240 is an abundant number, since it is smaller than the sum of its proper divisors (409773980160).

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

157982466240 is a wasteful number, since it uses less digits than its factorization.

157982466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 157982466240 in words is "one hundred fifty-seven billion, nine hundred eighty-two million, four hundred sixty-six thousand, two hundred forty".