414041204400 has 60 divisors (see below), whose sum is σ = 1326311995272. Its totient is φ = 110410987520.

The previous prime is 414041204399. The next prime is 414041204429. The reversal of 414041204400 is 4402140414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172515969 + ... + 172518368.

Almost surely, 2^414041204400 is an apocalyptic number.

414041204400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414041204400 is an abundant number, since it is smaller than the sum of its proper divisors (912270790872).

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

414041204400 is a wasteful number, since it uses less digits than its factorization.

414041204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345034358 (or 345034347 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 414041204400 its reverse (4402140414), we get a palindrome (418443344814).

The spelling of 414041204400 in words is "four hundred fourteen billion, forty-one million, two hundred four thousand, four hundred".