402491980800 has 2112 divisors, whose sum is σ = 1864925081600. Its totient is φ = 83846430720.

The previous prime is 402491980771. The next prime is 402491980811. The reversal of 402491980800 is 8089194204.

402491980800 is a `hidden beast` number, since 4 + 0 + 2 + 491 + 9 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

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 191 ways as a sum of consecutive naturals, for example, 5094835161 + ... + 5094835239.

Almost surely, 2^402491980800 is an apocalyptic number.

402491980800 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 402491980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932462540800).

402491980800 is an abundant number, since it is smaller than the sum of its proper divisors (1462433100800).

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

402491980800 is an equidigital number, since it uses as much as digits as its factorization.

402491980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 402491980800 in words is "four hundred two billion, four hundred ninety-one million, nine hundred eighty thousand, eight hundred".