412301144400 has 120 divisors (see below), whose sum is σ = 1321648846560. Its totient is φ = 109871147520.

The previous prime is 412301144383. The next prime is 412301144407. The reversal of 412301144400 is 4441103214.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412301144407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633054 + ... + 1868546.

It is an arithmetic number, because the mean of its divisors is an integer number (11013740388).

Almost surely, 2^412301144400 is an apocalyptic number.

412301144400 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 412301144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660824423280).

412301144400 is an abundant number, since it is smaller than the sum of its proper divisors (909347702160).

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

412301144400 is a wasteful number, since it uses less digits than its factorization.

412301144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236973 (or 236962 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 412301144400 its reverse (4441103214), we get a palindrome (416742247614).

The spelling of 412301144400 in words is "four hundred twelve billion, three hundred one million, one hundred forty-four thousand, four hundred".