30484974542400 has 1575 divisors, whose sum is σ = 131142149695491. Its totient is φ = 6945732218880.

The previous prime is 30484974542381. The next prime is 30484974542417. The reversal of 30484974542400 is 424547948403.

The square root of 30484974542400 is 5521320.

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

30484974542400 is a `hidden beast` number, since 3 + 0 + 4 + 8 + 4 + 97 + 4 + 542 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17125891062336 + 13359083480064 = 4138344^2 + 3655008^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 97396084644 + ... + 97396084956.

Almost surely, 2^{30484974542400} is an apocalyptic number.

30484974542400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30484974542400 is the 5521320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30484974542400

30484974542400 is an abundant number, since it is smaller than the sum of its proper divisors (100657175153091).

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

30484974542400 is an frugal number, since it uses more digits than its factorization.

30484974542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 30484974542400 in words is "thirty trillion, four hundred eighty-four billion, nine hundred seventy-four million, five hundred forty-two thousand, four hundred".