48700913040 has 480 divisors, whose sum is σ = 184467943296. Its totient is φ = 11869286400.

The previous prime is 48700913021. The next prime is 48700913057. The reversal of 48700913040 is 4031900784.

It is a happy number.

48700913040 is a `hidden beast` number, since 487 + 0 + 0 + 9 + 130 + 40 = 666.

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 = 48700912986 and 48700913004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27040140 + ... + 27041940.

Almost surely, 2^48700913040 is an apocalyptic number.

48700913040 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 48700913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92233971648).

48700913040 is an abundant number, since it is smaller than the sum of its proper divisors (135767030256).

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

48700913040 is a wasteful number, since it uses less digits than its factorization.

48700913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 48700913040 in words is "forty-eight billion, seven hundred million, nine hundred thirteen thousand, forty".