431400134400 has 216 divisors, whose sum is σ = 1430471193984. Its totient is φ = 114493747200.

The previous prime is 431400134303. The next prime is 431400134447. The reversal of 431400134400 is 4431004134.

It is a super-2 number, since 2×431400134400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3997957 + ... + 4104443.

It is an arithmetic number, because the mean of its divisors is an integer number (6622551824).

Almost surely, 2^431400134400 is an apocalyptic number.

431400134400 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 431400134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715235596992).

431400134400 is an abundant number, since it is smaller than the sum of its proper divisors (999071059584).

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

431400134400 is a wasteful number, since it uses less digits than its factorization.

431400134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106727 (or 106708 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 431400134400 its reverse (4431004134), we get a palindrome (435831138534).

The spelling of 431400134400 in words is "four hundred thirty-one billion, four hundred million, one hundred thirty-four thousand, four hundred".