402486763008 has 640 divisors, whose sum is σ = 1249017200640. Its totient is φ = 114057216000.

The previous prime is 402486763001. The next prime is 402486763103. The reversal of 402486763008 is 800367684204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402486763001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2937859516 + ... + 2937859652.

It is an arithmetic number, because the mean of its divisors is an integer number (1951589376).

Almost surely, 2^402486763008 is an apocalyptic number.

402486763008 is a gapful number since it is divisible by the number (48) 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 402486763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624508600320).

402486763008 is an abundant number, since it is smaller than the sum of its proper divisors (846530437632).

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

402486763008 is a wasteful number, since it uses less digits than its factorization.

402486763008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 402486763008 in words is "four hundred two billion, four hundred eighty-six million, seven hundred sixty-three thousand, eight".