402440200000 has 336 divisors, whose sum is σ = 1054350017280. Its totient is φ = 152092160000.

The previous prime is 402440199971. The next prime is 402440200003. The reversal of 402440200000 is 2044204.

It is a super-2 number, since 2×402440200000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402440200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409399509 + ... + 409400491.

It is an arithmetic number, because the mean of its divisors is an integer number (3137946480).

Almost surely, 2^402440200000 is an apocalyptic number.

402440200000 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 402440200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527175008640).

402440200000 is an abundant number, since it is smaller than the sum of its proper divisors (651909817280).

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

402440200000 is an frugal number, since it uses more digits than its factorization.

402440200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 402440200000 its reverse (2044204), we get a palindrome (402442244204).

The spelling of 402440200000 in words is "four hundred two billion, four hundred forty million, two hundred thousand".