49941577728000 has 1872 divisors, whose sum is σ = 217210451565744. Its totient is φ = 11415217766400.

The previous prime is 49941577727989. The next prime is 49941577728011. The reversal of 49941577728000 is 82777514994.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (8!)² ⋅ 5! ⋅ (2!)⁸.

49941577728000 is a `hidden beast` number, since 4 + 9 + 9 + 415 + 77 + 72 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49941577727989) and next prime (49941577728011).

It is a super-2 number, since 2×49941577728000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7134511103997 + ... + 7134511104003.

It is an arithmetic number, because the mean of its divisors is an integer number (116031224127).

Almost surely, 2^{49941577728000} is an apocalyptic number.

49941577728000 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 49941577728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108605225782872).

49941577728000 is an abundant number, since it is smaller than the sum of its proper divisors (167268873837744).

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

49941577728000 is an frugal number, since it uses more digits than its factorization.

49941577728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 49941577728000 in words is "forty-nine trillion, nine hundred forty-one billion, five hundred seventy-seven million, seven hundred twenty-eight thousand".