431424400300040 has 384 divisors, whose sum is σ = 1145911482293760. Its totient is φ = 145742358859776.

The previous prime is 431424400300007. The next prime is 431424400300093. The reversal of 431424400300040 is 40003004424134.

It is a happy number.

It is a super-2 number, since 2×431424400300040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431424400299976 and 431424400300012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38270587844 + ... + 38270599116.

It is an arithmetic number, because the mean of its divisors is an integer number (2984144485140).

Almost surely, 2^{431424400300040} is an apocalyptic number.

431424400300040 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 431424400300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572955741146880).

431424400300040 is an abundant number, since it is smaller than the sum of its proper divisors (714487081993720).

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

431424400300040 is a wasteful number, since it uses less digits than its factorization.

431424400300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12341 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 431424400300040 its reverse (40003004424134), we get a palindrome (471427404724174).

The spelling of 431424400300040 in words is "four hundred thirty-one trillion, four hundred twenty-four billion, four hundred million, three hundred thousand, forty".