402040300800 has 216 divisors, whose sum is σ = 1334240540640. Its totient is φ = 106610892800.

The previous prime is 402040300799. The next prime is 402040300841. The reversal of 402040300800 is 8003040204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378310 + ... + 3495290.

It is an arithmetic number, because the mean of its divisors is an integer number (6177039540).

Almost surely, 2^402040300800 is an apocalyptic number.

402040300800 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 402040300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667120270320).

402040300800 is an abundant number, since it is smaller than the sum of its proper divisors (932200239840).

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

402040300800 is a wasteful number, since it uses less digits than its factorization.

402040300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117189 (or 117170 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 402040300800 in words is "four hundred two billion, forty million, three hundred thousand, eight hundred".