48021906240 has 560 divisors, whose sum is σ = 212982194304. Its totient is φ = 9978163200.

The previous prime is 48021906239. The next prime is 48021906271. The reversal of 48021906240 is 4260912084.

48021906240 is a `hidden beast` number, since 4 + 8 + 0 + 21 + 9 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×48021906240² (a number of 22 digits) contains 22 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 = 48021906195 and 48021906204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1983810 + ... + 2007870.

Almost surely, 2^48021906240 is an apocalyptic number.

48021906240 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 48021906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106491097152).

48021906240 is an abundant number, since it is smaller than the sum of its proper divisors (164960288064).

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

48021906240 is a wasteful number, since it uses less digits than its factorization.

48021906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24108 (or 24089 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48021906240 in words is "forty-eight billion, twenty-one million, nine hundred six thousand, two hundred forty".