49406241052288 has 768 divisors, whose sum is σ = 116226846086400. Its totient is φ = 20846149632000.

The previous prime is 49406241052277. The next prime is 49406241052291. The reversal of 49406241052288 is 88225014260494.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130359474883 + ... + 130359475261.

It is an arithmetic number, because the mean of its divisors is an integer number (151337039175).

Almost surely, 2^{49406241052288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49406241052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58113423043200).

49406241052288 is an abundant number, since it is smaller than the sum of its proper divisors (66820605034112).

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

49406241052288 is a wasteful number, since it uses less digits than its factorization.

49406241052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 49406241052288 in words is "forty-nine trillion, four hundred six billion, two hundred forty-one million, fifty-two thousand, two hundred eighty-eight".