30980521440 has 384 divisors, whose sum is σ = 124518643200. Its totient is φ = 7114936320.

The previous prime is 30980521433. The next prime is 30980521469. The reversal of 30980521440 is 4412508903.

30980521440 is a `hidden beast` number, since 3 + 0 + 98 + 0 + 521 + 4 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 30980521395 and 30980521404.

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 63 ways as a sum of consecutive naturals, for example, 885724 + ... + 920036.

It is an arithmetic number, because the mean of its divisors is an integer number (324267300).

Almost surely, 2^30980521440 is an apocalyptic number.

30980521440 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 30980521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62259321600).

30980521440 is an abundant number, since it is smaller than the sum of its proper divisors (93538121760).

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

30980521440 is a wasteful number, since it uses less digits than its factorization.

30980521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34367 (or 34353 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30980521440 in words is "thirty billion, nine hundred eighty million, five hundred twenty-one thousand, four hundred forty".