10140040400 has 120 divisors (see below), whose sum is σ = 28410235200. Its totient is φ = 3476538240.

The previous prime is 10140040381. The next prime is 10140040433. The reversal of 10140040400 is 404004101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 100247 + ... + 174153.

It is an arithmetic number, because the mean of its divisors is an integer number (236751960).

Almost surely, 2^10140040400 is an apocalyptic number.

10140040400 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 10140040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14205117600).

10140040400 is an abundant number, since it is smaller than the sum of its proper divisors (18270194800).

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

10140040400 is an equidigital number, since it uses as much as digits as its factorization.

10140040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73946 (or 73921 counting only the distinct ones).

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

Adding to 10140040400 its reverse (404004101), we get a palindrome (10544044501).

The spelling of 10140040400 in words is "ten billion, one hundred forty million, forty thousand, four hundred".