42249999792 has 240 divisors, whose sum is σ = 147657493760. Its totient is φ = 10129743360.

The previous prime is 42249999763. The next prime is 42249999809. The reversal of 42249999792 is 29799994224.

It is a super-3 number, since 3×42249999792³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 488559 + ... + 568497.

Almost surely, 2^42249999792 is an apocalyptic number.

42249999792 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 42249999792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73828746880).

42249999792 is an abundant number, since it is smaller than the sum of its proper divisors (105407493968).

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

42249999792 is a wasteful number, since it uses less digits than its factorization.

42249999792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79992 (or 79975 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 66.

The spelling of 42249999792 in words is "forty-two billion, two hundred forty-nine million, nine hundred ninety-nine thousand, seven hundred ninety-two".