48432201840 has 480 divisors, whose sum is σ = 180502732800. Its totient is φ = 11540551680.

The previous prime is 48432201803. The next prime is 48432201877. The reversal of 48432201840 is 4810223484.

48432201840 is a `hidden beast` number, since 48 + 432 + 2 + 0 + 184 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48432201803) and next prime (48432201877).

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 = 48432201795 and 48432201804.

It is a congruent number.

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, 180045226 + ... + 180045494.

It is an arithmetic number, because the mean of its divisors is an integer number (376047360).

Almost surely, 2^48432201840 is an apocalyptic number.

48432201840 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 48432201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90251366400).

48432201840 is an abundant number, since it is smaller than the sum of its proper divisors (132070530960).

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

48432201840 is a wasteful number, since it uses less digits than its factorization.

48432201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 48432201840 in words is "forty-eight billion, four hundred thirty-two million, two hundred one thousand, eight hundred forty".