402144401400 has 288 divisors, whose sum is σ = 1455601590000. Its totient is φ = 91575214080.

The previous prime is 402144401317. The next prime is 402144401423. The reversal of 402144401400 is 4104441204.

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 71 ways as a sum of consecutive naturals, for example, 7883176 + ... + 7934024.

Almost surely, 2^402144401400 is an apocalyptic number.

402144401400 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 402144401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727800795000).

402144401400 is an abundant number, since it is smaller than the sum of its proper divisors (1053457188600).

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

402144401400 is a wasteful number, since it uses less digits than its factorization.

402144401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51151 (or 51135 counting only the distinct ones).

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

Adding to 402144401400 its reverse (4104441204), we get a palindrome (406248842604).

The spelling of 402144401400 in words is "four hundred two billion, one hundred forty-four million, four hundred one thousand, four hundred".