48624402534400 has 1053 divisors, whose sum is σ = 154716023792673. Its totient is φ = 15102104371200.

The previous prime is 48624402534347. The next prime is 48624402534439. The reversal of 48624402534400 is 443520442684.

The square root of 48624402534400 is 6973120.

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

It can be written as a sum of positive squares in only one way, i.e., 17504784912384 + 31119617622016 = 4183872^2 + 5578496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 171817676659 + ... + 171817676941.

Almost surely, 2^{48624402534400} is an apocalyptic number.

48624402534400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48624402534400 is the 6973120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48624402534400

48624402534400 is an abundant number, since it is smaller than the sum of its proper divisors (106091621258273).

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

48624402534400 is an equidigital number, since it uses as much as digits as its factorization.

48624402534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 46.

The spelling of 48624402534400 in words is "forty-eight trillion, six hundred twenty-four billion, four hundred two million, five hundred thirty-four thousand, four hundred".