10100400440 has 32 divisors (see below), whose sum is σ = 24474048480. Its totient is φ = 3729378432.

The previous prime is 10100400403. The next prime is 10100400473. The reversal of 10100400440 is 4400400101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9711404 + ... + 9712443.

It is an arithmetic number, because the mean of its divisors is an integer number (764814015).

Almost surely, 2^10100400440 is an apocalyptic number.

10100400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100400440 is an abundant number, since it is smaller than the sum of its proper divisors (14373648040).

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

10100400440 is a wasteful number, since it uses less digits than its factorization.

10100400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19423871 (or 19423867 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10100400440 its reverse (4400400101), we get a palindrome (14500800541).

The spelling of 10100400440 in words is "ten billion, one hundred million, four hundred thousand, four hundred forty".