42694138368 has 800 divisors, whose sum is σ = 158711591808. Its totient is φ = 11147673600.

The previous prime is 42694138337. The next prime is 42694138369. The reversal of 42694138368 is 86383149624.

42694138368 is a `hidden beast` number, since 4 + 269 + 4 + 13 + 8 + 368 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42694138369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202341783 + ... + 202341993.

Almost surely, 2^42694138368 is an apocalyptic number.

42694138368 is a gapful number since it is divisible by the number (48) 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 42694138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79355795904).

42694138368 is an abundant number, since it is smaller than the sum of its proper divisors (116017453440).

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

42694138368 is a wasteful number, since it uses less digits than its factorization.

42694138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 42694138368 in words is "forty-two billion, six hundred ninety-four million, one hundred thirty-eight thousand, three hundred sixty-eight".