157419221400 has 1152 divisors, whose sum is σ = 668974325760. Its totient is φ = 32348160000.

The previous prime is 157419221341. The next prime is 157419221413. The reversal of 157419221400 is 4122914751.

157419221400 is a `hidden beast` number, since 15 + 7 + 4 + 19 + 221 + 400 = 666.

It is a super-2 number, since 2×157419221400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1002670122 + ... + 1002670278.

It is an arithmetic number, because the mean of its divisors is an integer number (580706880).

Almost surely, 2^157419221400 is an apocalyptic number.

157419221400 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 157419221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334487162880).

157419221400 is an abundant number, since it is smaller than the sum of its proper divisors (511555104360).

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

157419221400 is a wasteful number, since it uses less digits than its factorization.

157419221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 157419221400 in words is "one hundred fifty-seven billion, four hundred nineteen million, two hundred twenty-one thousand, four hundred".