30187971440 has 80 divisors (see below), whose sum is σ = 78637154400. Its totient is φ = 10680744960.

The previous prime is 30187971439. The next prime is 30187971469. The reversal of 30187971440 is 4417978103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30187971440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 30187971391 and 30187971400.

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 15 ways as a sum of consecutive naturals, for example, 431015 + ... + 496134.

It is an arithmetic number, because the mean of its divisors is an integer number (982964430).

Almost surely, 2^30187971440 is an apocalyptic number.

It is an amenable number.

30187971440 is an abundant number, since it is smaller than the sum of its proper divisors (48449182960).

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

30187971440 is a wasteful number, since it uses less digits than its factorization.

30187971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927210 (or 927204 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 30187971440 in words is "thirty billion, one hundred eighty-seven million, nine hundred seventy-one thousand, four hundred forty".