10140251561440 has 384 divisors, whose sum is σ = 32208830502912. Its totient is φ = 2913514168320.

The previous prime is 10140251561399. The next prime is 10140251561491. The reversal of 10140251561440 is 4416515204101.

It is a junction number, because it is equal to n+sod(n) for n = 10140251561396 and 10140251561405.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 118956274 + ... + 119041486.

It is an arithmetic number, because the mean of its divisors is an integer number (83877162768).

Almost surely, 2^{10140251561440} is an apocalyptic number.

10140251561440 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 10140251561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104415251456).

10140251561440 is an abundant number, since it is smaller than the sum of its proper divisors (22068578941472).

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

10140251561440 is a wasteful number, since it uses less digits than its factorization.

10140251561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86002 (or 85994 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

Adding to 10140251561440 its reverse (4416515204101), we get a palindrome (14556766765541).

The spelling of 10140251561440 in words is "ten trillion, one hundred forty billion, two hundred fifty-one million, five hundred sixty-one thousand, four hundred forty".