30949221673920 has 896 divisors, whose sum is σ = 112070139770880. Its totient is φ = 7227270758400.

The previous prime is 30949221673829. The next prime is 30949221674011. The reversal of 30949221673920 is 2937612294903.

It is an interprime number because it is at equal distance from previous prime (30949221673829) and next prime (30949221674011).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23752279989 + ... + 23752281291.

Almost surely, 2^{30949221673920} is an apocalyptic number.

30949221673920 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 30949221673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56035069885440).

30949221673920 is an abundant number, since it is smaller than the sum of its proper divisors (81120918096960).

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

30949221673920 is a wasteful number, since it uses less digits than its factorization.

30949221673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 30949221673920 in words is "thirty trillion, nine hundred forty-nine billion, two hundred twenty-one million, six hundred seventy-three thousand, nine hundred twenty".