10140414431240 has 64 divisors (see below), whose sum is σ = 22965756465600. Its totient is φ = 4029551753472.

The previous prime is 10140414431227. The next prime is 10140414431249. The reversal of 10140414431240 is 4213441404101.

It is a happy number.

It is a super-3 number, since 3×10140414431240³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10140414431249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14917814 + ... + 15582746.

It is an arithmetic number, because the mean of its divisors is an integer number (358839944775).

Almost surely, 2^{10140414431240} is an apocalyptic number.

10140414431240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140414431240 is an abundant number, since it is smaller than the sum of its proper divisors (12825342034360).

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

10140414431240 is a wasteful number, since it uses less digits than its factorization.

10140414431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667446 (or 667442 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10140414431240 its reverse (4213441404101), we get a palindrome (14353855835341).

The spelling of 10140414431240 in words is "ten trillion, one hundred forty billion, four hundred fourteen million, four hundred thirty-one thousand, two hundred forty".