30644969252040 has 3072 divisors, whose sum is σ = 134552559697920. Its totient is φ = 5926846464000.

The previous prime is 30644969252021. The next prime is 30644969252071. The reversal of 30644969252040 is 4025296944603.

30644969252040 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 496 + 92 + 5 + 20 + 40 = 666.

It is a super-2 number, since 2×30644969252040² (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 767 ways as a sum of consecutive naturals, for example, 58594587219 + ... + 58594587741.

It is an arithmetic number, because the mean of its divisors is an integer number (43799661360).

Almost surely, 2^{30644969252040} is an apocalyptic number.

30644969252040 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 30644969252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67276279848960).

30644969252040 is an abundant number, since it is smaller than the sum of its proper divisors (103907590445880).

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

30644969252040 is a wasteful number, since it uses less digits than its factorization.

30644969252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 30644969252040 in words is "thirty trillion, six hundred forty-four billion, nine hundred sixty-nine million, two hundred fifty-two thousand, forty".