30157267140 has 576 divisors, whose sum is σ = 127391846400. Its totient is φ = 5783477760.

The previous prime is 30157267109. The next prime is 30157267159. The reversal of 30157267140 is 4176275103.

It is a happy number.

30157267140 is a `hidden beast` number, since 301 + 57 + 267 + 1 + 40 = 666.

It is a super-2 number, since 2×30157267140² (a number of 22 digits) contains 22 as substring.

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 = 30157267095 and 30157267104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4861761 + ... + 4867959.

It is an arithmetic number, because the mean of its divisors is an integer number (221166400).

Almost surely, 2^30157267140 is an apocalyptic number.

30157267140 is a gapful number since it is divisible by the number (30) 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 30157267140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63695923200).

30157267140 is an abundant number, since it is smaller than the sum of its proper divisors (97234579260).

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

30157267140 is a wasteful number, since it uses less digits than its factorization.

30157267140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 30157267140 in words is "thirty billion, one hundred fifty-seven million, two hundred sixty-seven thousand, one hundred forty".