49098399405120 has 672 divisors, whose sum is σ = 192433147670400. Its totient is φ = 11390310678528.

The previous prime is 49098399405089. The next prime is 49098399405149. The reversal of 49098399405120 is 2150499389094.

49098399405120 is a `hidden beast` number, since 4 + 90 + 98 + 39 + 9 + 405 + 1 + 20 = 666.

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, 137113671 + ... + 137471289.

It is an arithmetic number, because the mean of its divisors is an integer number (286358850700).

Almost surely, 2^{49098399405120} is an apocalyptic number.

49098399405120 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 49098399405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96216573835200).

49098399405120 is an abundant number, since it is smaller than the sum of its proper divisors (143334748265280).

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

49098399405120 is a wasteful number, since it uses less digits than its factorization.

49098399405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357867 (or 357854 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 49098399405120 in words is "forty-nine trillion, ninety-eight billion, three hundred ninety-nine million, four hundred five thousand, one hundred twenty".