413450414400 has 84 divisors (see below), whose sum is σ = 1356461916992. Its totient is φ = 110253442560.

The previous prime is 413450414393. The next prime is 413450414423. The reversal of 413450414400 is 4414054314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 43062952 + ... + 43072551.

Almost surely, 2^413450414400 is an apocalyptic number.

413450414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413450414400 is an abundant number, since it is smaller than the sum of its proper divisors (943011502592).

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

413450414400 is a wasteful number, since it uses less digits than its factorization.

413450414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86135528 (or 86135513 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 413450414400 its reverse (4414054314), we get a palindrome (417864468714).

The spelling of 413450414400 in words is "four hundred thirteen billion, four hundred fifty million, four hundred fourteen thousand, four hundred".