402224114400 has 144 divisors (see below), whose sum is σ = 1311178672944. Its totient is φ = 107100897280.

The previous prime is 402224114393. The next prime is 402224114431. The reversal of 402224114400 is 4411422204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501024 + ... + 1748576.

It is an arithmetic number, because the mean of its divisors is an integer number (9105407451).

Almost surely, 2^402224114400 is an apocalyptic number.

402224114400 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 402224114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655589336472).

402224114400 is an abundant number, since it is smaller than the sum of its proper divisors (908954558544).

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

402224114400 is a wasteful number, since it uses less digits than its factorization.

402224114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248253 (or 248240 counting only the distinct ones).

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

Adding to 402224114400 its reverse (4411422204), we get a palindrome (406635536604).

The spelling of 402224114400 in words is "four hundred two billion, two hundred twenty-four million, one hundred fourteen thousand, four hundred".