30490617507840 has 3120 divisors, whose sum is σ = 135887692925952. Its totient is φ = 6505633677312.

The previous prime is 30490617507829. The next prime is 30490617507853. The reversal of 30490617507840 is 4870571609403.

30490617507840 is a `hidden beast` number, since 3 + 0 + 4 + 90 + 6 + 1 + 7 + 507 + 8 + 40 = 666.

It is a super-2 number, since 2×30490617507840² (a number of 28 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 87869214547 + ... + 87869214893.

Almost surely, 2^{30490617507840} is an apocalyptic number.

30490617507840 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 30490617507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67943846462976).

30490617507840 is an abundant number, since it is smaller than the sum of its proper divisors (105397075418112).

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

30490617507840 is a wasteful number, since it uses less digits than its factorization.

30490617507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 30490617507840 in words is "thirty trillion, four hundred ninety billion, six hundred seventeen million, five hundred seven thousand, eight hundred forty".