48401485440 has 1024 divisors, whose sum is σ = 203046912000. Its totient is φ = 9514598400.

The previous prime is 48401485439. The next prime is 48401485459. The reversal of 48401485440 is 4458410484.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48401485392 and 48401485401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270399271 + ... + 270399449.

It is an arithmetic number, because the mean of its divisors is an integer number (198288000).

Almost surely, 2^48401485440 is an apocalyptic number.

48401485440 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 48401485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101523456000).

48401485440 is an abundant number, since it is smaller than the sum of its proper divisors (154645426560).

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

48401485440 is a wasteful number, since it uses less digits than its factorization.

48401485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 42.

The spelling of 48401485440 in words is "forty-eight billion, four hundred one million, four hundred eighty-five thousand, four hundred forty".