30269040480 has 432 divisors, whose sum is σ = 123099709824. Its totient is φ = 6749245440.

The previous prime is 30269040479. The next prime is 30269040509. The reversal of 30269040480 is 8404096203.

It is a happy number.

30269040480 is a `hidden beast` number, since 30 + 26 + 90 + 40 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2887729 + ... + 2898191.

It is an arithmetic number, because the mean of its divisors is an integer number (284953032).

Almost surely, 2^30269040480 is an apocalyptic number.

30269040480 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 30269040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61549854912).

30269040480 is an abundant number, since it is smaller than the sum of its proper divisors (92830669344).

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

30269040480 is a wasteful number, since it uses less digits than its factorization.

30269040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30269040480 in words is "thirty billion, two hundred sixty-nine million, forty thousand, four hundred eighty".