49743844761600 has 4032 divisors, whose sum is σ = 220770199088640. Its totient is φ = 10861019136000.

The previous prime is 49743844761599. The next prime is 49743844761641. The reversal of 49743844761600 is 616744834794.

49743844761600 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 3 + 8 + 4 + 4 + 7 + 616 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1344428236782 + ... + 1344428236818.

Almost surely, 2^{49743844761600} is an apocalyptic number.

49743844761600 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 49743844761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110385099544320).

49743844761600 is an abundant number, since it is smaller than the sum of its proper divisors (171026354327040).

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

49743844761600 is a wasteful number, since it uses less digits than its factorization.

49743844761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 49743844761600 in words is "forty-nine trillion, seven hundred forty-three billion, eight hundred forty-four million, seven hundred sixty-one thousand, six hundred".