414030401000 has 128 divisors (see below), whose sum is σ = 983394172800. Its totient is φ = 163140275200.

The previous prime is 414030400967. The next prime is 414030401047. The reversal of 414030401000 is 104030414.

It is a self number, because there is not a number n which added to its sum of digits gives 414030401000.

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, 19142192 + ... + 19163808.

It is an arithmetic number, because the mean of its divisors is an integer number (7682766975).

Almost surely, 2^414030401000 is an apocalyptic number.

414030401000 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 414030401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491697086400).

414030401000 is an abundant number, since it is smaller than the sum of its proper divisors (569363771800).

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

414030401000 is a wasteful number, since it uses less digits than its factorization.

414030401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21924 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 414030401000 its reverse (104030414), we get a palindrome (414134431414).

The spelling of 414030401000 in words is "four hundred fourteen billion, thirty million, four hundred one thousand".