48201229440 has 1536 divisors, whose sum is σ = 222699456000. Its totient is φ = 9754214400.

The previous prime is 48201229397. The next prime is 48201229451. The reversal of 48201229440 is 4492210284.

48201229440 is a `hidden beast` number, since 4 + 8 + 201 + 2 + 2 + 9 + 440 = 666.

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 = 48201229395 and 48201229404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319213365 + ... + 319213515.

It is an arithmetic number, because the mean of its divisors is an integer number (144986625).

Almost surely, 2^48201229440 is an apocalyptic number.

48201229440 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 48201229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111349728000).

48201229440 is an abundant number, since it is smaller than the sum of its proper divisors (174498226560).

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

48201229440 is a wasteful number, since it uses less digits than its factorization.

48201229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 48201229440 in words is "forty-eight billion, two hundred one million, two hundred twenty-nine thousand, four hundred forty".