42689296104 has 256 divisors, whose sum is σ = 137696993280. Its totient is φ = 10727700480.

The previous prime is 42689296103. The next prime is 42689296163. The reversal of 42689296104 is 40169298624.

It is a super-3 number, since 3×42689296104³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42689296103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3844849 + ... + 3855935.

It is an arithmetic number, because the mean of its divisors is an integer number (537878880).

Almost surely, 2^42689296104 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 42689296104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68848496640).

42689296104 is an abundant number, since it is smaller than the sum of its proper divisors (95007697176).

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

42689296104 is a wasteful number, since it uses less digits than its factorization.

42689296104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200 (or 11196 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 42689296104 in words is "forty-two billion, six hundred eighty-nine million, two hundred ninety-six thousand, one hundred four".