10140402400400 has 30 divisors (see below), whose sum is σ = 24362316767922. Its totient is φ = 4056160960000.

The previous prime is 10140402400363. The next prime is 10140402400409. The reversal of 10140402400400 is 400420404101.

It is a happy number.

10140402400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 200532004864 + 9939870395536 = 447808^2 + 3152756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10140402400409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12675502601 + ... + 12675503400.

Almost surely, 2^{10140402400400} is an apocalyptic number.

10140402400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140402400400 is an abundant number, since it is smaller than the sum of its proper divisors (14221914367522).

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

10140402400400 is a wasteful number, since it uses less digits than its factorization.

10140402400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25351006019 (or 25351006008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10140402400400 its reverse (400420404101), we get a palindrome (10540822804501).

The spelling of 10140402400400 in words is "ten trillion, one hundred forty billion, four hundred two million, four hundred thousand, four hundred".