42086749824 has 640 divisors, whose sum is σ = 157345689600. Its totient is φ = 10888390656.

The previous prime is 42086749823. The next prime is 42086749841. The reversal of 42086749824 is 42894768024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42086749823) 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, 31715049 + ... + 31716375.

It is an arithmetic number, because the mean of its divisors is an integer number (245852640).

Almost surely, 2^42086749824 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 42086749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78672844800).

42086749824 is an abundant number, since it is smaller than the sum of its proper divisors (115258939776).

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

42086749824 is a wasteful number, since it uses less digits than its factorization.

42086749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 42086749824 in words is "forty-two billion, eighty-six million, seven hundred forty-nine thousand, eight hundred twenty-four".