49120344000 has 2240 divisors, whose sum is σ = 241643001600. Its totient is φ = 9754214400.

The previous prime is 49120343963. The next prime is 49120344019. The reversal of 49120344000 is 44302194.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2889431992 + ... + 2889432008.

It is an arithmetic number, because the mean of its divisors is an integer number (107876340).

Almost surely, 2^49120344000 is an apocalyptic number.

49120344000 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 49120344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120821500800).

49120344000 is an abundant number, since it is smaller than the sum of its proper divisors (192522657600).

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

49120344000 is a wasteful number, since it uses less digits than its factorization.

49120344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 49120344000 its reverse (44302194), we get a palindrome (49164646194).

The spelling of 49120344000 in words is "forty-nine billion, one hundred twenty million, three hundred forty-four thousand".