10004200440 has 128 divisors (see below), whose sum is σ = 32349058560. Its totient is φ = 2460455424.

The previous prime is 10004200399. The next prime is 10004200501. The reversal of 10004200440 is 4400240001.

It is a Cunningham number, because it is equal to 100021²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2598597 + ... + 2602443.

It is an arithmetic number, because the mean of its divisors is an integer number (252727020).

Almost surely, 2^10004200440 is an apocalyptic number.

10004200440 is a gapful number since it is divisible by the number (10) 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 10004200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174529280).

10004200440 is an abundant number, since it is smaller than the sum of its proper divisors (22344858120).

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

10004200440 is a wasteful number, since it uses less digits than its factorization.

10004200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10004200440 its reverse (4400240001), we get a palindrome (14404440441).

The spelling of 10004200440 in words is "ten billion, four million, two hundred thousand, four hundred forty".