30815296743840 has 1152 divisors, whose sum is σ = 119700833495040. Its totient is φ = 6509433176064.

The previous prime is 30815296743839. The next prime is 30815296743971. The reversal of 30815296743840 is 4834769251803.

It is a super-2 number, since 2×30815296743840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40707128742 + ... + 40707129498.

It is an arithmetic number, because the mean of its divisors is an integer number (103906973520).

It is a 1-persistent number, because it is pandigital, but 2⋅30815296743840 = 61630593487680 is not.

Almost surely, 2^{30815296743840} is an apocalyptic number.

30815296743840 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 30815296743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59850416747520).

30815296743840 is an abundant number, since it is smaller than the sum of its proper divisors (88885536751200).

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

30815296743840 is a wasteful number, since it uses less digits than its factorization.

30815296743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 30815296743840 in words is "thirty trillion, eight hundred fifteen billion, two hundred ninety-six million, seven hundred forty-three thousand, eight hundred forty".