10140412452400 has 120 divisors (see below), whose sum is σ = 24400734855200. Its totient is φ = 4049776465920.

The previous prime is 10140412452389. The next prime is 10140412452403. The reversal of 10140412452400 is 425421404101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10140412452403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1793807974 + ... + 1793813626.

Almost surely, 2^{10140412452400} is an apocalyptic number.

10140412452400 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 10140412452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200367427600).

10140412452400 is an abundant number, since it is smaller than the sum of its proper divisors (14260322402800).

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

10140412452400 is a wasteful number, since it uses less digits than its factorization.

10140412452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 10140412452400 its reverse (425421404101), we get a palindrome (10565833856501).

The spelling of 10140412452400 in words is "ten trillion, one hundred forty billion, four hundred twelve million, four hundred fifty-two thousand, four hundred".