413444400222000 has 640 divisors, whose sum is σ = 1542008573134848. Its totient is φ = 93345483264000.

The previous prime is 413444400221933. The next prime is 413444400222011. The reversal of 413444400222000 is 222004444314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30805775290 + ... + 30805788710.

Almost surely, 2^{413444400222000} is an apocalyptic number.

413444400222000 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 413444400222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771004286567424).

413444400222000 is an abundant number, since it is smaller than the sum of its proper divisors (1128564172912848).

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

413444400222000 is a wasteful number, since it uses less digits than its factorization.

413444400222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22374 (or 22358 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 413444400222000 its reverse (222004444314), we get a palindrome (413666404666314).

The spelling of 413444400222000 in words is "four hundred thirteen trillion, four hundred forty-four billion, four hundred million, two hundred twenty-two thousand".