42249826944 has 576 divisors, whose sum is σ = 138606249600. Its totient is φ = 12335431680.

The previous prime is 42249826943. The next prime is 42249826967. The reversal of 42249826944 is 44962894224.

It is a happy number.

42249826944 is a `hidden beast` number, since 42 + 2 + 498 + 26 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42249826943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534807897 + ... + 534807975.

It is an arithmetic number, because the mean of its divisors is an integer number (240635850).

Almost surely, 2^42249826944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42249826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69303124800).

42249826944 is an abundant number, since it is smaller than the sum of its proper divisors (96356422656).

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

42249826944 is a wasteful number, since it uses less digits than its factorization.

42249826944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 42249826944 in words is "forty-two billion, two hundred forty-nine million, eight hundred twenty-six thousand, nine hundred forty-four".