42061698720 has 576 divisors, whose sum is σ = 152562009600. Its totient is φ = 10540744704.

The previous prime is 42061698719. The next prime is 42061698727. The reversal of 42061698720 is 2789616024.

It is a happy number.

42061698720 is a `hidden beast` number, since 4 + 2 + 0 + 616 + 9 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42061698727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282293206 + ... + 282293354.

It is an arithmetic number, because the mean of its divisors is an integer number (264864600).

Almost surely, 2^42061698720 is an apocalyptic number.

42061698720 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 42061698720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76281004800).

42061698720 is an abundant number, since it is smaller than the sum of its proper divisors (110500310880).

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

42061698720 is a wasteful number, since it uses less digits than its factorization.

42061698720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 42061698720 in words is "forty-two billion, sixty-one million, six hundred ninety-eight thousand, seven hundred twenty".