42074332960 has 144 divisors (see below), whose sum is σ = 109590884928. Its totient is φ = 15253230080.

The previous prime is 42074332919. The next prime is 42074332961. The reversal of 42074332960 is 6923347024.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42074332961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6714789 + ... + 6721051.

It is an arithmetic number, because the mean of its divisors is an integer number (761047812).

Almost surely, 2^42074332960 is an apocalyptic number.

42074332960 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 42074332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54795442464).

42074332960 is an abundant number, since it is smaller than the sum of its proper divisors (67516551968).

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

42074332960 is a wasteful number, since it uses less digits than its factorization.

42074332960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

Adding to 42074332960 its reverse (6923347024), we get a palindrome (48997679984).

The spelling of 42074332960 in words is "forty-two billion, seventy-four million, three hundred thirty-two thousand, nine hundred sixty".