400424440200 has 192 divisors, whose sum is σ = 1262280518400. Its totient is φ = 104987750400.

The previous prime is 400424440183. The next prime is 400424440211. The reversal of 400424440200 is 2044424004.

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 47 ways as a sum of consecutive naturals, for example, 11405874 + ... + 11440926.

It is an arithmetic number, because the mean of its divisors is an integer number (6574377700).

Almost surely, 2^400424440200 is an apocalyptic number.

400424440200 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 400424440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631140259200).

400424440200 is an abundant number, since it is smaller than the sum of its proper divisors (861856078200).

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

400424440200 is a wasteful number, since it uses less digits than its factorization.

400424440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35392 (or 35383 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 400424440200 its reverse (2044424004), we get a palindrome (402468864204).

The spelling of 400424440200 in words is "four hundred billion, four hundred twenty-four million, four hundred forty thousand, two hundred".