431420623200000 has 3456 divisors, whose sum is σ = 1918212106567680. Its totient is φ = 93504153600000.

The previous prime is 431420623199981. The next prime is 431420623200001. The reversal of 431420623200000 is 2326024134.

431420623200000 is a `hidden beast` number, since 4 + 3 + 1 + 420 + 6 + 232 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×431420623200000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431420623200001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 455565599527 + ... + 455565600473.

It is an arithmetic number, because the mean of its divisors is an integer number (555038225280).

Almost surely, 2^{431420623200000} is an apocalyptic number.

431420623200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431420623200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959106053283840).

431420623200000 is an abundant number, since it is smaller than the sum of its proper divisors (1486791483367680).

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

431420623200000 is an equidigital number, since it uses as much as digits as its factorization.

431420623200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 431420623200000 its reverse (2326024134), we get a palindrome (431422949224134).

The spelling of 431420623200000 in words is "four hundred thirty-one trillion, four hundred twenty billion, six hundred twenty-three million, two hundred thousand".