140214411431200 has 144 divisors (see below), whose sum is σ = 367980398997120. Its totient is φ = 52003373829120.

The previous prime is 140214411431137. The next prime is 140214411431203. The reversal of 140214411431200 is 2134114412041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (140214411431203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97419987 + ... + 98848786.

It is an arithmetic number, because the mean of its divisors is an integer number (2555419437480).

Almost surely, 2^{140214411431200} is an apocalyptic number.

140214411431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140214411431200 is an abundant number, since it is smaller than the sum of its proper divisors (227765987565920).

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

140214411431200 is a wasteful number, since it uses less digits than its factorization.

140214411431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196268859 (or 196268846 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 140214411431200 its reverse (2134114412041), we get a palindrome (142348525843241).

The spelling of 140214411431200 in words is "one hundred forty trillion, two hundred fourteen billion, four hundred eleven million, four hundred thirty-one thousand, two hundred".