10413002140400 has 60 divisors (see below), whose sum is σ = 25019902734600. Its totient is φ = 4164757136640.

The previous prime is 10413002140369. The next prime is 10413002140403. The reversal of 10413002140400 is 404120031401.

It is a super-2 number, since 2×10413002140400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413002140403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2385686 + ... + 5149514.

It is an arithmetic number, because the mean of its divisors is an integer number (416998378910).

Almost surely, 2^{10413002140400} is an apocalyptic number.

10413002140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10413002140400 is an abundant number, since it is smaller than the sum of its proper divisors (14606900594200).

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

10413002140400 is a wasteful number, since it uses less digits than its factorization.

10413002140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773266 (or 2773255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10413002140400 its reverse (404120031401), we get a palindrome (10817122171801).

The spelling of 10413002140400 in words is "ten trillion, four hundred thirteen billion, two million, one hundred forty thousand, four hundred".