30998408306400 has 216 divisors, whose sum is σ = 109371695325984. Its totient is φ = 8261435750400.

The previous prime is 30998408306387. The next prime is 30998408306407. The reversal of 30998408306400 is 460380489903.

It is a happy number.

30998408306400 is a `hidden beast` number, since 30 + 9 + 98 + 40 + 83 + 0 + 6 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30998408306407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11140377 + ... + 13642023.

It is an arithmetic number, because the mean of its divisors is an integer number (506350441324).

Almost surely, 2^{30998408306400} is an apocalyptic number.

30998408306400 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 30998408306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54685847662992).

30998408306400 is an abundant number, since it is smaller than the sum of its proper divisors (78373287019584).

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

30998408306400 is a wasteful number, since it uses less digits than its factorization.

30998408306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503394 (or 2503378 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 30998408306400 in words is "thirty trillion, nine hundred ninety-eight billion, four hundred eight million, three hundred six thousand, four hundred".