157202227440 has 400 divisors, whose sum is σ = 553902547968. Its totient is φ = 41316728832.

The previous prime is 157202227381. The next prime is 157202227451. The reversal of 157202227440 is 44722202751.

157202227440 is a `hidden beast` number, since 1 + 5 + 7 + 202 + 2 + 2 + 7 + 440 = 666.

157202227440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 157202227395 and 157202227404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240738154 + ... + 240738806.

Almost surely, 2^157202227440 is an apocalyptic number.

157202227440 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 157202227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276951273984).

157202227440 is an abundant number, since it is smaller than the sum of its proper divisors (396700320528).

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

157202227440 is a wasteful number, since it uses less digits than its factorization.

157202227440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 157202227440 in words is "one hundred fifty-seven billion, two hundred two million, two hundred twenty-seven thousand, four hundred forty".