48624215040 has 264 divisors, whose sum is σ = 168923434680. Its totient is φ = 12932481024.

The previous prime is 48624215033. The next prime is 48624215041. The reversal of 48624215040 is 4051242684.

48624215040 is a `hidden beast` number, since 4 + 8 + 624 + 21 + 5 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20625555456 + 27998659584 = 143616^2 + 167328^2 .

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 = 48624214986 and 48624215004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48624215041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21057406 + ... + 21059714.

It is an arithmetic number, because the mean of its divisors is an integer number (639861495).

Almost surely, 2^48624215040 is an apocalyptic number.

48624215040 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 48624215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84461717340).

48624215040 is an abundant number, since it is smaller than the sum of its proper divisors (120299219640).

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

48624215040 is a wasteful number, since it uses less digits than its factorization.

48624215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 48624215040 in words is "forty-eight billion, six hundred twenty-four million, two hundred fifteen thousand, forty".