30900925440 has 704 divisors, whose sum is σ = 136961003520. Its totient is φ = 6418759680.

The previous prime is 30900925411. The next prime is 30900925459. The reversal of 30900925440 is 4452900903.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30900925395 and 30900925404.

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, 10643029 + ... + 10645931.

It is an arithmetic number, because the mean of its divisors is an integer number (194546880).

Almost surely, 2^30900925440 is an apocalyptic number.

30900925440 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 30900925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68480501760).

30900925440 is an abundant number, since it is smaller than the sum of its proper divisors (106060078080).

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

30900925440 is a wasteful number, since it uses less digits than its factorization.

30900925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 30900925440 in words is "thirty billion, nine hundred million, nine hundred twenty-five thousand, four hundred forty".