48742752240 has 1280 divisors, whose sum is σ = 226785484800. Its totient is φ = 9326886912.

The previous prime is 48742752221. The next prime is 48742752299. The reversal of 48742752240 is 4225724784.

48742752240 is a `hidden beast` number, since 4 + 87 + 4 + 2 + 7 + 522 + 40 = 666.

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 255 ways as a sum of consecutive naturals, for example, 96903829 + ... + 96904331.

It is an arithmetic number, because the mean of its divisors is an integer number (177176160).

Almost surely, 2^48742752240 is an apocalyptic number.

48742752240 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 48742752240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113392742400).

48742752240 is an abundant number, since it is smaller than the sum of its proper divisors (178042732560).

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

48742752240 is a wasteful number, since it uses less digits than its factorization.

48742752240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 48742752240 in words is "forty-eight billion, seven hundred forty-two million, seven hundred fifty-two thousand, two hundred forty".