48741062990400 has 2835 divisors, whose sum is σ = 206651383653099. Its totient is φ = 11259730944000.

The previous prime is 48741062990381. The next prime is 48741062990437. The reversal of 48741062990400 is 409926014784.

The square root of 48741062990400 is 6981480.

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

48741062990400 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 1 + 0 + 629 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20515899184704 + 28225163805696 = 4529448^2 + 5312736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1133513092779 + ... + 1133513092821.

Almost surely, 2^{48741062990400} is an apocalyptic number.

48741062990400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48741062990400 is the 6981480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48741062990400

48741062990400 is an abundant number, since it is smaller than the sum of its proper divisors (157910320662699).

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

48741062990400 is a wasteful number, since it uses less digits than its factorization.

48741062990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48741062990400 in words is "forty-eight trillion, seven hundred forty-one billion, sixty-two million, nine hundred ninety thousand, four hundred".