430414100040 has 128 divisors (see below), whose sum is σ = 1297132784640. Its totient is φ = 114254343936.

The previous prime is 430414099979. The next prime is 430414100059. The reversal of 430414100040 is 40001414034.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36093519 + ... + 36105441.

It is an arithmetic number, because the mean of its divisors is an integer number (10133849880).

Almost surely, 2^430414100040 is an apocalyptic number.

430414100040 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 430414100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648566392320).

430414100040 is an abundant number, since it is smaller than the sum of its proper divisors (866718684600).

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

430414100040 is a wasteful number, since it uses less digits than its factorization.

430414100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 430414100040 its reverse (40001414034), we get a palindrome (470415514074).

The spelling of 430414100040 in words is "four hundred thirty billion, four hundred fourteen million, one hundred thousand, forty".