49941577728001 has 32 divisors (see below), whose sum is σ = 53653422974976. Its totient is φ = 46320936480000.

The previous prime is 49941577727989. The next prime is 49941577728011. The reversal of 49941577728001 is 10082777514994.

It is a cyclic number.

It is not a de Polignac number, because 49941577728001 - 2¹¹ = 49941577725953 is a prime.

It is a super-2 number, since 2×49941577728001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49941577728011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099939366 + ... + 1099984768.

It is an arithmetic number, because the mean of its divisors is an integer number (1676669467968).

It is a Proth number, since it is equal to 1488375 ⋅ 2²⁵ + 1 and 1488375 < 2²⁵.

Almost surely, 2^{49941577728001} is an apocalyptic number.

It is an amenable number.

49941577728001 is a deficient number, since it is larger than the sum of its proper divisors (3711845246975).

49941577728001 is a wasteful number, since it uses less digits than its factorization.

49941577728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48973.

The product of its (nonzero) digits is 35562240, while the sum is 64.

The spelling of 49941577728001 in words is "forty-nine trillion, nine hundred forty-one billion, five hundred seventy-seven million, seven hundred twenty-eight thousand, one".