30620434406416 has 160 divisors (see below), whose sum is σ = 63542196432000. Its totient is φ = 14253206446080.

The previous prime is 30620434406371. The next prime is 30620434406437. The reversal of 30620434406416 is 61460443402603.

It is a super-2 number, since 2×30620434406416² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922628570 + ... + 2922639046.

It is an arithmetic number, because the mean of its divisors is an integer number (397138727700).

Almost surely, 2^{30620434406416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30620434406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31771098216000).

30620434406416 is an abundant number, since it is smaller than the sum of its proper divisors (32921762025584).

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

30620434406416 is a wasteful number, since it uses less digits than its factorization.

30620434406416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 30620434406416 in words is "thirty trillion, six hundred twenty billion, four hundred thirty-four million, four hundred six thousand, four hundred sixteen".