49660490880400 has 405 divisors, whose sum is σ = 125184145761129. Its totient is φ = 18931565537280.

The previous prime is 49660490880389. The next prime is 49660490880401. The reversal of 49660490880400 is 408809406694.

The square root of 49660490880400 is 7047020.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25753554441616 + 23906936438784 = 5074796^2 + 4889472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49660490880401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 464116737147 + ... + 464116737253.

Almost surely, 2^{49660490880400} is an apocalyptic number.

49660490880400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49660490880400 is the 7047020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49660490880400

49660490880400 is an abundant number, since it is smaller than the sum of its proper divisors (75523654880729).

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

49660490880400 is an equidigital number, since it uses as much as digits as its factorization.

49660490880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 49660490880400 in words is "forty-nine trillion, six hundred sixty billion, four hundred ninety million, eight hundred eighty thousand, four hundred".