30409779456 has 405 divisors, whose sum is σ = 106094019801. Its totient is φ = 8638285824.

The previous prime is 30409779427. The next prime is 30409779467. The reversal of 30409779456 is 65497790403.

It is a happy number.

The square root of 30409779456 is 174384.

It is a perfect power (a square), and thus also a powerful number.

30409779456 is a `hidden beast` number, since 30 + 4 + 0 + 97 + 79 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27662342400 + 2747437056 = 166320^2 + 52416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 175778986 + ... + 175779158.

Almost surely, 2^30409779456 is an apocalyptic number.

30409779456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30409779456 is the 174384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30409779456

30409779456 is an abundant number, since it is smaller than the sum of its proper divisors (75684240345).

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

30409779456 is an frugal number, since it uses more digits than its factorization.

30409779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 30409779456 in words is "thirty billion, four hundred nine million, seven hundred seventy-nine thousand, four hundred fifty-six".