201431214420000 has 240 divisors, whose sum is σ = 671933574053280. Its totient is φ = 52804566016000.

The previous prime is 201431214419999. The next prime is 201431214420017. The reversal of 201431214420000 is 24412134102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24910737 + ... + 31990736.

It is an arithmetic number, because the mean of its divisors is an integer number (2799723225222).

Almost surely, 2^{201431214420000} is an apocalyptic number.

201431214420000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201431214420000 is an abundant number, since it is smaller than the sum of its proper divisors (470502359633280).

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

201431214420000 is an equidigital number, since it uses as much as digits as its factorization.

201431214420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56901565 (or 56901542 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201431214420000 its reverse (24412134102), we get a palindrome (201455626554102).

The spelling of 201431214420000 in words is "two hundred one trillion, four hundred thirty-one billion, two hundred fourteen million, four hundred twenty thousand".