30432388140 has 864 divisors, whose sum is σ = 123141537792. Its totient is φ = 5945702400.

The previous prime is 30432388127. The next prime is 30432388219. The reversal of 30432388140 is 4188323403.

It is a happy number.

30432388140 is a `hidden beast` number, since 3 + 0 + 432 + 3 + 88 + 140 = 666.

It is a super-2 number, since 2×30432388140² (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 = 30432388095 and 30432388104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 222134152 + ... + 222134288.

It is an arithmetic number, because the mean of its divisors is an integer number (142524928).

Almost surely, 2^30432388140 is an apocalyptic number.

30432388140 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 30432388140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61570768896).

30432388140 is an abundant number, since it is smaller than the sum of its proper divisors (92709149652).

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

30432388140 is a wasteful number, since it uses less digits than its factorization.

30432388140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 30432388140 in words is "thirty billion, four hundred thirty-two million, three hundred eighty-eight thousand, one hundred forty".