1432100214400 has 96 divisors (see below), whose sum is σ = 3633349822380. Its totient is φ = 557357875200.

The previous prime is 1432100214397. The next prime is 1432100214401. The reversal of 1432100214400 is 44120012341.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1124838421056 + 307261793344 = 1060584^2 + 554312^2 .

It is a super-2 number, since 2×1432100214400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1432100214401) 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, 5929321 + ... + 6166120.

Almost surely, 2^{1432100214400} is an apocalyptic number.

1432100214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432100214400 is an abundant number, since it is smaller than the sum of its proper divisors (2201249607980).

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

1432100214400 is a wasteful number, since it uses less digits than its factorization.

1432100214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095502 (or 12095485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1432100214400 its reverse (44120012341), we get a palindrome (1476220226741).

The spelling of 1432100214400 in words is "one trillion, four hundred thirty-two billion, one hundred million, two hundred fourteen thousand, four hundred".