402441010400 has 576 divisors, whose sum is σ = 1190623795200. Its totient is φ = 130873344000.

The previous prime is 402441010381. The next prime is 402441010417. The reversal of 402441010400 is 4010144204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1121005421 + ... + 1121005779.

It is an arithmetic number, because the mean of its divisors is an integer number (2067055200).

Almost surely, 2^402441010400 is an apocalyptic number.

402441010400 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 402441010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595311897600).

402441010400 is an abundant number, since it is smaller than the sum of its proper divisors (788182784800).

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

402441010400 is a wasteful number, since it uses less digits than its factorization.

402441010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 402441010400 its reverse (4010144204), we get a palindrome (406451154604).

The spelling of 402441010400 in words is "four hundred two billion, four hundred forty-one million, ten thousand, four hundred".