42042654720 has 588 divisors, whose sum is σ = 165037395096. Its totient is φ = 10192158720.

The previous prime is 42042654679. The next prime is 42042654769. The reversal of 42042654720 is 2745624024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3822059515 + ... + 3822059525.

It is an arithmetic number, because the mean of its divisors is an integer number (280675842).

Almost surely, 2^42042654720 is an apocalyptic number.

42042654720 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 42042654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82518697548).

42042654720 is an abundant number, since it is smaller than the sum of its proper divisors (122994740376).

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

42042654720 is an frugal number, since it uses more digits than its factorization.

42042654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 42042654720 in words is "forty-two billion, forty-two million, six hundred fifty-four thousand, seven hundred twenty".