8342704436040 has 384 divisors, whose sum is σ = 30817502352000. Its totient is φ = 1940364066816.

The previous prime is 8342704435999. The next prime is 8342704436147. The reversal of 8342704436040 is 406344072438.

8342704436040 is a `hidden beast` number, since 8 + 3 + 42 + 70 + 443 + 60 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33576904 + ... + 33824456.

It is an arithmetic number, because the mean of its divisors is an integer number (80253912375).

Almost surely, 2^{8342704436040} 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 8342704436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408751176000).

8342704436040 is an abundant number, since it is smaller than the sum of its proper divisors (22474797915960).

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

8342704436040 is a wasteful number, since it uses less digits than its factorization.

8342704436040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247981 (or 247974 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 8342704436040 in words is "eight trillion, three hundred forty-two billion, seven hundred four million, four hundred thirty-six thousand, forty".