402400000000 has 216 divisors, whose sum is σ = 1007753390280. Its totient is φ = 160640000000.

The previous prime is 402399999977. The next prime is 402400000019. The reversal of 402400000000 is 4204.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 799999749 + ... + 800000251.

It is an arithmetic number, because the mean of its divisors is an integer number (4665524955).

Almost surely, 2^402400000000 is an apocalyptic number.

402400000000 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 402400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503876695140).

402400000000 is an abundant number, since it is smaller than the sum of its proper divisors (605353390280).

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

402400000000 is an frugal number, since it uses more digits than its factorization.

402400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 402400000000 its reverse (4204), we get a palindrome (402400004204).

The spelling of 402400000000 in words is "four hundred two billion, four hundred million", and thus it is an aban number.