30406081912920 has 960 divisors, whose sum is σ = 124959836358720. Its totient is φ = 6493852311552.

The previous prime is 30406081912897. The next prime is 30406081912949. The reversal of 30406081912920 is 2921918060403.

30406081912920 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 608 + 1 + 9 + 12 + 9 + 20 = 666.

It is a super-3 number, since 3×30406081912920³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 597660604 + ... + 597711476.

It is an arithmetic number, because the mean of its divisors is an integer number (130166496207).

Almost surely, 2^{30406081912920} is an apocalyptic number.

30406081912920 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 30406081912920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62479918179360).

30406081912920 is an abundant number, since it is smaller than the sum of its proper divisors (94553754445800).

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

30406081912920 is a wasteful number, since it uses less digits than its factorization.

30406081912920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51014 (or 50982 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 30406081912920 in words is "thirty trillion, four hundred six billion, eighty-one million, nine hundred twelve thousand, nine hundred twenty".