4001441004 has 72 divisors (see below), whose sum is σ = 11189767680. Its totient is φ = 1195471200.

The previous prime is 4001440999. The next prime is 4001441027.

4001441004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43044 + ... + 99275.

It is an arithmetic number, because the mean of its divisors is an integer number (155413440).

Almost surely, 2^4001441004 is an apocalyptic number.

4001441004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4001441004 is an abundant number, since it is smaller than the sum of its proper divisors (7188326676).

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

4001441004 is a wasteful number, since it uses less digits than its factorization.

4001441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142411 (or 142406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4001441004 is about 63256.9443144387. The cubic root of 4001441004 is about 1587.5916500211.

It can be divided in two parts, 40014 and 41004, that added together give a palindrome (81018).

The spelling of 4001441004 in words is "four billion, one million, four hundred forty-one thousand, four".