42118292736 has 288 divisors, whose sum is σ = 136999672320. Its totient is φ = 12682469376.

The previous prime is 42118292717. The next prime is 42118292743. The reversal of 42118292736 is 63729281124.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 42118292691 and 42118292700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218246 + ... + 4228218.

Almost surely, 2^42118292736 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 42118292736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68499836160).

42118292736 is an abundant number, since it is smaller than the sum of its proper divisors (94881379584).

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

42118292736 is a wasteful number, since it uses less digits than its factorization.

42118292736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058 (or 10038 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 42118292736 in words is "forty-two billion, one hundred eighteen million, two hundred ninety-two thousand, seven hundred thirty-six".