402443021400 has 192 divisors, whose sum is σ = 1439642380800. Its totient is φ = 91093800960.

The previous prime is 402443021311. The next prime is 402443021413. The reversal of 402443021400 is 4120344204.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 32545 + ... + 897744.

It is an arithmetic number, because the mean of its divisors is an integer number (7498137400).

Almost surely, 2^402443021400 is an apocalyptic number.

402443021400 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 402443021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719821190400).

402443021400 is an abundant number, since it is smaller than the sum of its proper divisors (1037199359400).

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

402443021400 is a wasteful number, since it uses less digits than its factorization.

402443021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930418 (or 930409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 402443021400 its reverse (4120344204), we get a palindrome (406563365604).

The spelling of 402443021400 in words is "four hundred two billion, four hundred forty-three million, twenty-one thousand, four hundred".