49138801920 has 432 divisors, whose sum is σ = 193873457232. Its totient is φ = 11383603200.

The previous prime is 49138801867. The next prime is 49138801981. The reversal of 49138801920 is 2910883194.

It can be written as a sum of positive squares in 8 ways, for example, as 364962816 + 48773839104 = 19104^2 + 220848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536270 + ... + 2555570.

It is an arithmetic number, because the mean of its divisors is an integer number (448781151).

Almost surely, 2^49138801920 is an apocalyptic number.

49138801920 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 49138801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96936728616).

49138801920 is an abundant number, since it is smaller than the sum of its proper divisors (144734655312).

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

49138801920 is a wasteful number, since it uses less digits than its factorization.

49138801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19358 (or 19341 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 49138801920 in words is "forty-nine billion, one hundred thirty-eight million, eight hundred one thousand, nine hundred twenty".