42166002540 has 192 divisors, whose sum is σ = 121080960000. Its totient is φ = 10962293760.

The previous prime is 42166002533. The next prime is 42166002551. The reversal of 42166002540 is 4520066124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42166002498 and 42166002507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211889361 + ... + 211889559.

It is an arithmetic number, because the mean of its divisors is an integer number (630630000).

Almost surely, 2^42166002540 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 42166002540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480000).

42166002540 is an abundant number, since it is smaller than the sum of its proper divisors (78914957460).

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

42166002540 is a wasteful number, since it uses less digits than its factorization.

42166002540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42166002540 its reverse (4520066124), we get a palindrome (46686068664).

The spelling of 42166002540 in words is "forty-two billion, one hundred sixty-six million, two thousand, five hundred forty".