48039013440 has 1260 divisors, whose sum is σ = 203293792548. Its totient is φ = 10753966080.

The previous prime is 48039013403. The next prime is 48039013459. The reversal of 48039013440 is 4431093084.

48039013440 is a `hidden beast` number, since 480 + 3 + 9 + 0 + 134 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5309162496 + 42729850944 = 72864^2 + 206712^2 .

It is a super-3 number, since 3×48039013440³ (a number of 33 digits) contains 333 as substring.

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 = 48039013395 and 48039013404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 906396454 + ... + 906396506.

Almost surely, 2^48039013440 is an apocalyptic number.

48039013440 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 48039013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101646896274).

48039013440 is an abundant number, since it is smaller than the sum of its proper divisors (155254779108).

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

48039013440 is a wasteful number, since it uses less digits than its factorization.

48039013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 48039013440 in words is "forty-eight billion, thirty-nine million, thirteen thousand, four hundred forty".