140042431414400 has 96 divisors (see below), whose sum is σ = 366298484810580. Its totient is φ = 52721856512000.

The previous prime is 140042431414339. The next prime is 140042431414409. The reversal of 140042431414400 is 4414134240041.

It can be written as a sum of positive squares in 6 ways, for example, as 78254405207104 + 61788026207296 = 8846152^2 + 7860536^2 .

It is a super-2 number, since 2×140042431414400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (140042431414409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287100301 + ... + 1287209100.

Almost surely, 2^{140042431414400} is an apocalyptic number.

140042431414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140042431414400 is an abundant number, since it is smaller than the sum of its proper divisors (226256053396180).

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

140042431414400 is a wasteful number, since it uses less digits than its factorization.

140042431414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574309442 (or 2574309425 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 140042431414400 its reverse (4414134240041), we get a palindrome (144456565654441).

The spelling of 140042431414400 in words is "one hundred forty trillion, forty-two billion, four hundred thirty-one million, four hundred fourteen thousand, four hundred".