48407224320 has 1344 divisors, whose sum is σ = 218740573440. Its totient is φ = 9937354752.

The previous prime is 48407224309. The next prime is 48407224339. The reversal of 48407224320 is 2342270484.

48407224320 is a `hidden beast` number, since 4 + 8 + 407 + 2 + 243 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1308303342 + ... + 1308303378.

Almost surely, 2^48407224320 is an apocalyptic number.

48407224320 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 48407224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109370286720).

48407224320 is an abundant number, since it is smaller than the sum of its proper divisors (170333349120).

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

48407224320 is a wasteful number, since it uses less digits than its factorization.

48407224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 48407224320 in words is "forty-eight billion, four hundred seven million, two hundred twenty-four thousand, three hundred twenty".