42041748000 has 768 divisors, whose sum is σ = 169827840000. Its totient is φ = 8873164800.

The previous prime is 42041747921. The next prime is 42041748043. The reversal of 42041748000 is 84714024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84251751 + ... + 84252249.

It is an arithmetic number, because the mean of its divisors is an integer number (221130000).

Almost surely, 2^42041748000 is an apocalyptic number.

42041748000 is a gapful number since it is divisible by the number (40) 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 42041748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920000).

42041748000 is an abundant number, since it is smaller than the sum of its proper divisors (127786092000).

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

42041748000 is a wasteful number, since it uses less digits than its factorization.

42041748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 42041748000 in words is "forty-two billion, forty-one million, seven hundred forty-eight thousand".