49240096081704 has 1536 divisors, whose sum is σ = 161489778278400. Its totient is φ = 13523811840000.

The previous prime is 49240096081699. The next prime is 49240096081711. The reversal of 49240096081704 is 40718069004294.

49240096081704 is a `hidden beast` number, since 4 + 9 + 2 + 400 + 9 + 60 + 8 + 170 + 4 = 666.

It is a super-2 number, since 2×49240096081704² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 553259506492 + ... + 553259506580.

It is an arithmetic number, because the mean of its divisors is an integer number (105136574400).

Almost surely, 2^{49240096081704} is an apocalyptic number.

49240096081704 is a gapful number since it is divisible by the number (44) 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 49240096081704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80744889139200).

49240096081704 is an abundant number, since it is smaller than the sum of its proper divisors (112249682196696).

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

49240096081704 is a wasteful number, since it uses less digits than its factorization.

49240096081704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 49240096081704 in words is "forty-nine trillion, two hundred forty billion, ninety-six million, eighty-one thousand, seven hundred four".