48414033360 has 480 divisors, whose sum is σ = 203656108032. Its totient is φ = 10013137920.

The previous prime is 48414033337. The next prime is 48414033407. The reversal of 48414033360 is 6333041484.

It is a happy number.

48414033360 is a `hidden beast` number, since 484 + 140 + 3 + 3 + 36 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12582957 + ... + 12586803.

Almost surely, 2^48414033360 is an apocalyptic number.

48414033360 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 48414033360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101828054016).

48414033360 is an abundant number, since it is smaller than the sum of its proper divisors (155242074672).

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

48414033360 is a wasteful number, since it uses less digits than its factorization.

48414033360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 48414033360 in words is "forty-eight billion, four hundred fourteen million, thirty-three thousand, three hundred sixty".