49940783692800 has 6336 divisors, whose sum is σ = 245710247537664. Its totient is φ = 8759594188800.

The previous prime is 49940783692759. The next prime is 49940783692873. The reversal of 49940783692800 is 829638704994.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 484861977549 + ... + 484861977651.

Almost surely, 2^{49940783692800} is an apocalyptic number.

49940783692800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49940783692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122855123768832).

49940783692800 is an abundant number, since it is smaller than the sum of its proper divisors (195769463844864).

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

49940783692800 is a wasteful number, since it uses less digits than its factorization.

49940783692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 49940783692800 in words is "forty-nine trillion, nine hundred forty billion, seven hundred eighty-three million, six hundred ninety-two thousand, eight hundred".