4080048000 has 256 divisors, whose sum is σ = 15458826240. Its totient is φ = 932505600.

The previous prime is 4080047977. The next prime is 4080048029. The reversal of 4080048000 is 8400804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329929 + ... + 342071.

It is an arithmetic number, because the mean of its divisors is an integer number (60386040).

Almost surely, 2^4080048000 is an apocalyptic number.

4080048000 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 4080048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729413120).

4080048000 is an abundant number, since it is smaller than the sum of its proper divisors (11378778240).

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

4080048000 is a wasteful number, since it uses less digits than its factorization.

4080048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12182 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4080048000 is about 63875.2534241548. The cubic root of 4080048000 is about 1597.9202143954.

Adding to 4080048000 its reverse (8400804), we get a palindrome (4088448804).

The spelling of 4080048000 in words is "four billion, eighty million, forty-eight thousand".