8402042880 has 816 divisors, whose sum is σ = 37295466624. Its totient is φ = 1698693120.

The previous prime is 8402042863. The next prime is 8402042897. The reversal of 8402042880 is 882402048.

It is an interprime number because it is at equal distance from previous prime (8402042863) and next prime (8402042897).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227082222 + ... + 227082258.

Almost surely, 2^8402042880 is an apocalyptic number.

8402042880 is a gapful number since it is divisible by the number (80) 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 8402042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647733312).

8402042880 is an abundant number, since it is smaller than the sum of its proper divisors (28893423744).

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

8402042880 is a wasteful number, since it uses less digits than its factorization.

8402042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8402042880 is about 91662.6580456840. The cubic root of 8402042880 is about 2032.9574920017.

The spelling of 8402042880 in words is "eight billion, four hundred two million, forty-two thousand, eight hundred eighty".