30225671424 has 576 divisors, whose sum is σ = 104336225280. Its totient is φ = 8546549760.

The previous prime is 30225671419. The next prime is 30225671431. The reversal of 30225671424 is 42417652203.

30225671424 is a `hidden beast` number, since 3 + 0 + 225 + 6 + 7 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×30225671424² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71794734 + ... + 71795154.

It is an arithmetic number, because the mean of its divisors is an integer number (181139280).

Almost surely, 2^30225671424 is an apocalyptic number.

30225671424 is a gapful number since it is divisible by the number (34) 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 30225671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52168112640).

30225671424 is an abundant number, since it is smaller than the sum of its proper divisors (74110553856).

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

30225671424 is a wasteful number, since it uses less digits than its factorization.

30225671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

It can be divided in two parts, 302256 and 71424, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 30225671424 in words is "thirty billion, two hundred twenty-five million, six hundred seventy-one thousand, four hundred twenty-four".