42138974250 has 320 divisors, whose sum is σ = 128078945280. Its totient is φ = 10299312000.

The previous prime is 42138974249. The next prime is 42138974261. The reversal of 42138974250 is 5247983124.

42138974250 is a `hidden beast` number, since 4 + 2 + 138 + 97 + 425 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42138974196 and 42138974205.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11925484 + ... + 11929016.

It is an arithmetic number, because the mean of its divisors is an integer number (400246704).

Almost surely, 2^42138974250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42138974250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039472640).

42138974250 is an abundant number, since it is smaller than the sum of its proper divisors (85939971030).

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

42138974250 is a wasteful number, since it uses less digits than its factorization.

42138974250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42138974250 in words is "forty-two billion, one hundred thirty-eight million, nine hundred seventy-four thousand, two hundred fifty".