140414222431440 has 160 divisors (see below), whose sum is σ = 483653847863040. Its totient is φ = 37443416431104.

The previous prime is 140414222431423. The next prime is 140414222431447. The reversal of 140414222431440 is 44134222414041.

140414222431440 is a `hidden beast` number, since 1 + 4 + 0 + 41 + 42 + 224 + 314 + 40 = 666.

It is a super-2 number, since 2×140414222431440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140414222431395 and 140414222431404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414222431447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 264341154 + ... + 264871806.

It is an arithmetic number, because the mean of its divisors is an integer number (3022836549144).

Almost surely, 2^{140414222431440} is an apocalyptic number.

140414222431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414222431440 is an abundant number, since it is smaller than the sum of its proper divisors (343239625431600).

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

140414222431440 is a wasteful number, since it uses less digits than its factorization.

140414222431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653178 (or 653166 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 140414222431440 its reverse (44134222414041), we get a palindrome (184548444845481).

The spelling of 140414222431440 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred twenty-two million, four hundred thirty-one thousand, four hundred forty".