65431142400 has 324 divisors, whose sum is σ = 233001974072. Its totient is φ = 16106127360.

The previous prime is 65431142351. The next prime is 65431142401. The reversal of 65431142400 is 424113456.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65431142401) 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, 5033164794 + ... + 5033164806.

Almost surely, 2^65431142400 is an apocalyptic number.

65431142400 is a gapful number since it is divisible by the number (60) 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 65431142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116500987036).

65431142400 is an abundant number, since it is smaller than the sum of its proper divisors (167570831672).

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

65431142400 is an frugal number, since it uses more digits than its factorization.

65431142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 65431142400 its reverse (424113456), we get a palindrome (65855255856).

The spelling of 65431142400 in words is "sixty-five billion, four hundred thirty-one million, one hundred forty-two thousand, four hundred".