42035038584 has 256 divisors, whose sum is σ = 134313984000. Its totient is φ = 10647037440.

The previous prime is 42035038583. The next prime is 42035038637. The reversal of 42035038584 is 48583053024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035038583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12115602 + ... + 12119070.

It is an arithmetic number, because the mean of its divisors is an integer number (524664000).

Almost surely, 2^42035038584 is an apocalyptic number.

42035038584 is a gapful number since it is divisible by the number (44) 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 42035038584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67156992000).

42035038584 is an abundant number, since it is smaller than the sum of its proper divisors (92278945416).

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

42035038584 is a wasteful number, since it uses less digits than its factorization.

42035038584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 42035038584 in words is "forty-two billion, thirty-five million, thirty-eight thousand, five hundred eighty-four".