30793265101440 has 192 divisors, whose sum is σ = 106367257081800. Its totient is φ = 8208891371520.

The previous prime is 30793265101429. The next prime is 30793265101441. The reversal of 30793265101440 is 4410156239703.

30793265101440 is a `hidden beast` number, since 3 + 0 + 7 + 93 + 2 + 6 + 510 + 1 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13846079145024 + 16947185956416 = 3721032^2 + 4116696^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×30793265101440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30793265101441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17048070 + ... + 18767610.

Almost surely, 2^{30793265101440} is an apocalyptic number.

30793265101440 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 30793265101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53183628540900).

30793265101440 is an abundant number, since it is smaller than the sum of its proper divisors (75573991980360).

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

30793265101440 is a wasteful number, since it uses less digits than its factorization.

30793265101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722675 (or 1722660 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 30793265101440 in words is "thirty trillion, seven hundred ninety-three billion, two hundred sixty-five million, one hundred one thousand, four hundred forty".