4001400048 has 40 divisors (see below), whose sum is σ = 10693400400. Its totient is φ = 1287806464.

The previous prime is 4001400031. The next prime is 4001400061. The reversal of 4001400048 is 8400041004.

It is a super-2 number, since 2×4001400048² = 32022404688268804608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4001399997 and 4001400033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435893 + ... + 1438676.

It is an arithmetic number, because the mean of its divisors is an integer number (267335010).

Almost surely, 2^4001400048 is an apocalyptic number.

4001400048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4001400048 is an abundant number, since it is smaller than the sum of its proper divisors (6692000352).

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

4001400048 is a wasteful number, since it uses less digits than its factorization.

4001400048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874609 (or 2874603 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4001400048 is about 63256.6205863070. The cubic root of 4001400048 is about 1587.5862335036.

The spelling of 4001400048 in words is "four billion, one million, four hundred thousand, forty-eight".