100023011431440 has 80 divisors (see below), whose sum is σ = 311803577668800. Its totient is φ = 26523792964096.

The previous prime is 100023011431439. The next prime is 100023011431463. The reversal of 100023011431440 is 44134110320001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100023011431440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164098235 + ... + 1164184154.

It is an arithmetic number, because the mean of its divisors is an integer number (3897544720860).

Almost surely, 2^{100023011431440} is an apocalyptic number.

100023011431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023011431440 is an abundant number, since it is smaller than the sum of its proper divisors (211780566237360).

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

100023011431440 is a wasteful number, since it uses less digits than its factorization.

100023011431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328282584 (or 2328282578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100023011431440 its reverse (44134110320001), we get a palindrome (144157121751441).

The spelling of 100023011431440 in words is "one hundred trillion, twenty-three billion, eleven million, four hundred thirty-one thousand, four hundred forty".