10131414440 has 96 divisors (see below), whose sum is σ = 27670481280. Its totient is φ = 3322585728.

The previous prime is 10131414383. The next prime is 10131414443. The reversal of 10131414440 is 4441413101.

10131414440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10131414440⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (10131414443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67292 + ... + 157451.

It is an arithmetic number, because the mean of its divisors is an integer number (288234180).

Almost surely, 2^10131414440 is an apocalyptic number.

10131414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131414440 is an abundant number, since it is smaller than the sum of its proper divisors (17539066840).

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

10131414440 is a wasteful number, since it uses less digits than its factorization.

10131414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224791 (or 224780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10131414440 its reverse (4441413101), we get a palindrome (14572827541).

The spelling of 10131414440 in words is "ten billion, one hundred thirty-one million, four hundred fourteen thousand, four hundred forty".