30913021440 has 960 divisors, whose sum is σ = 131551580160. Its totient is φ = 6808043520.

The previous prime is 30913021427. The next prime is 30913021441. The reversal of 30913021440 is 4412031903.

30913021440 is a `hidden beast` number, since 309 + 1 + 302 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×30913021440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30913021441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134991246 + ... + 134991474.

It is an arithmetic number, because the mean of its divisors is an integer number (137032896).

Almost surely, 2^30913021440 is an apocalyptic number.

30913021440 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 30913021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65775790080).

30913021440 is an abundant number, since it is smaller than the sum of its proper divisors (100638558720).

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

30913021440 is an equidigital number, since it uses as much as digits as its factorization.

30913021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30913021440 in words is "thirty billion, nine hundred thirteen million, twenty-one thousand, four hundred forty".