140414144444320 has 96 divisors (see below), whose sum is σ = 333944462396160. Its totient is φ = 55790496921600.

The previous prime is 140414144444317. The next prime is 140414144444341. The reversal of 140414144444320 is 23444441414041.

It is a super-2 number, since 2×140414144444320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445328644 + ... + 445643836.

It is an arithmetic number, because the mean of its divisors is an integer number (3478588149960).

Almost surely, 2^{140414144444320} is an apocalyptic number.

140414144444320 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 140414144444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166972231198080).

140414144444320 is an abundant number, since it is smaller than the sum of its proper divisors (193530317951840).

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

140414144444320 is a wasteful number, since it uses less digits than its factorization.

140414144444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333798 (or 333790 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 140414144444320 its reverse (23444441414041), we get a palindrome (163858585858361).

The spelling of 140414144444320 in words is "one hundred forty trillion, four hundred fourteen billion, one hundred forty-four million, four hundred forty-four thousand, three hundred twenty".