402441402400000 has 108 divisors (see below), whose sum is σ = 1004074197224364. Its totient is φ = 160976560640000.

The previous prime is 402441402399853. The next prime is 402441402400007. The reversal of 402441402400000 is 4204144204.

It can be written as a sum of positive squares in 6 ways, for example, as 397751648338944 + 4689754061056 = 19943712^2 + 2165584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402441402400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250725877 + ... + 252325876.

It is an arithmetic number, because the mean of its divisors is an integer number (9296983307633).

Almost surely, 2^{402441402400000} is an apocalyptic number.

402441402400000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402441402400000 is an abundant number, since it is smaller than the sum of its proper divisors (601632794824364).

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

402441402400000 is an frugal number, since it uses more digits than its factorization.

402441402400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503051794 (or 503051760 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 402441402400000 its reverse (4204144204), we get a palindrome (402445606544204).

The spelling of 402441402400000 in words is "four hundred two trillion, four hundred forty-one billion, four hundred two million, four hundred thousand".