8042102460 has 432 divisors, whose sum is σ = 29797447680. Its totient is φ = 1748355840.

The previous prime is 8042102447. The next prime is 8042102473. The reversal of 8042102460 is 642012408.

It is an interprime number because it is at equal distance from previous prime (8042102447) and next prime (8042102473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18318921 + ... + 18319359.

Almost surely, 2^8042102460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042102460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898723840).

8042102460 is an abundant number, since it is smaller than the sum of its proper divisors (21755345220).

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

8042102460 is a wasteful number, since it uses less digits than its factorization.

8042102460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8042102460 is about 89677.7701551505. The cubic root of 8042102460 is about 2003.5024013455.

Adding to 8042102460 its reverse (642012408), we get a palindrome (8684114868).

The spelling of 8042102460 in words is "eight billion, forty-two million, one hundred two thousand, four hundred sixty".