42289191840 has 768 divisors, whose sum is σ = 167659269120. Its totient is φ = 8741191680.

The previous prime is 42289191839. The next prime is 42289191859. The reversal of 42289191840 is 4819198224.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42289191840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184668846 + ... + 184669074.

It is an arithmetic number, because the mean of its divisors is an integer number (218306340).

Almost surely, 2^42289191840 is an apocalyptic number.

42289191840 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 42289191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83829634560).

42289191840 is an abundant number, since it is smaller than the sum of its proper divisors (125370077280).

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

42289191840 is a wasteful number, since it uses less digits than its factorization.

42289191840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 42289191840 in words is "forty-two billion, two hundred eighty-nine million, one hundred ninety-one thousand, eight hundred forty".