49902078240 has 720 divisors, whose sum is σ = 206479627200. Its totient is φ = 11316630528.

The previous prime is 49902078091. The next prime is 49902078253. The reversal of 49902078240 is 4287020994.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113671941 + ... + 113672379.

It is an arithmetic number, because the mean of its divisors is an integer number (286777260).

Almost surely, 2^49902078240 is an apocalyptic number.

49902078240 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 49902078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103239813600).

49902078240 is an abundant number, since it is smaller than the sum of its proper divisors (156577548960).

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

49902078240 is a wasteful number, since it uses less digits than its factorization.

49902078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49902078240 in words is "forty-nine billion, nine hundred two million, seventy-eight thousand, two hundred forty".