30405986996352 has 384 divisors, whose sum is σ = 92177620254720. Its totient is φ = 8806440192000.

The previous prime is 30405986996347. The next prime is 30405986996383. The reversal of 30405986996352 is 25369968950403.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×30405986996352³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3322690977 + ... + 3322700127.

It is an arithmetic number, because the mean of its divisors is an integer number (240045886080).

Almost surely, 2^{30405986996352} is an apocalyptic number.

30405986996352 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 30405986996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46088810127360).

30405986996352 is an abundant number, since it is smaller than the sum of its proper divisors (61771633258368).

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

30405986996352 is a wasteful number, since it uses less digits than its factorization.

30405986996352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10712 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 69.

The spelling of 30405986996352 in words is "thirty trillion, four hundred five billion, nine hundred eighty-six million, nine hundred ninety-six thousand, three hundred fifty-two".