42245129472 has 864 divisors, whose sum is σ = 155490644736. Its totient is φ = 9873653760.

The previous prime is 42245129471. The next prime is 42245129477. The reversal of 42245129472 is 27492154224.

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 (42245129471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1141760238 + ... + 1141760274.

It is an arithmetic number, because the mean of its divisors is an integer number (179966024).

Almost surely, 2^42245129472 is an apocalyptic number.

42245129472 is a gapful number since it is divisible by the number (42) 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 42245129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77745322368).

42245129472 is an abundant number, since it is smaller than the sum of its proper divisors (113245515264).

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

42245129472 is a wasteful number, since it uses less digits than its factorization.

42245129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 42245129472 in words is "forty-two billion, two hundred forty-five million, one hundred twenty-nine thousand, four hundred seventy-two".