48714251040 has 768 divisors, whose sum is σ = 217132876800. Its totient is φ = 9921429504.

The previous prime is 48714250997. The next prime is 48714251057. The reversal of 48714251040 is 4015241784.

It is a happy number.

48714251040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48714250986 and 48714251004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11398344 + ... + 11402616.

It is an arithmetic number, because the mean of its divisors is an integer number (282725100).

Almost surely, 2^48714251040 is an apocalyptic number.

48714251040 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 48714251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108566438400).

48714251040 is an abundant number, since it is smaller than the sum of its proper divisors (168418625760).

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

48714251040 is a wasteful number, since it uses less digits than its factorization.

48714251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 48714251040 in words is "forty-eight billion, seven hundred fourteen million, two hundred fifty-one thousand, forty".