30641926458240 has 512 divisors, whose sum is σ = 109599114240000. Its totient is φ = 8090302685184.

The previous prime is 30641926458223. The next prime is 30641926458281. The reversal of 30641926458240 is 4285462914603.

30641926458240 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 19 + 2 + 6 + 4 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2974072929 + ... + 2974083231.

It is an arithmetic number, because the mean of its divisors is an integer number (214060770000).

Almost surely, 2^{30641926458240} is an apocalyptic number.

30641926458240 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 30641926458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54799557120000).

30641926458240 is an abundant number, since it is smaller than the sum of its proper divisors (78957187781760).

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

30641926458240 is a wasteful number, since it uses less digits than its factorization.

30641926458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12019 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 30641926458240 in words is "thirty trillion, six hundred forty-one billion, nine hundred twenty-six million, four hundred fifty-eight thousand, two hundred forty".