30042611707392 has 1280 divisors, whose sum is σ = 98646714777600. Its totient is φ = 9133456195584.

The previous prime is 30042611707379. The next prime is 30042611707393. The reversal of 30042611707392 is 29370711624003.

30042611707392 is a `hidden beast` number, since 3 + 0 + 0 + 426 + 1 + 1 + 70 + 73 + 92 = 666.

It is a super-2 number, since 2×30042611707392² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30042611707393) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236555997633 + ... + 236555997759.

It is an arithmetic number, because the mean of its divisors is an integer number (77067745920).

Almost surely, 2^{30042611707392} is an apocalyptic number.

30042611707392 is a gapful number since it is divisible by the number (32) 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 30042611707392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49323357388800).

30042611707392 is an abundant number, since it is smaller than the sum of its proper divisors (68604103070208).

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

30042611707392 is an frugal number, since it uses more digits than its factorization.

30042611707392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 30042611707392 in words is "thirty trillion, forty-two billion, six hundred eleven million, seven hundred seven thousand, three hundred ninety-two".