42428672370 has 384 divisors, whose sum is σ = 135540228096. Its totient is φ = 9348742656.

The previous prime is 42428672359. The next prime is 42428672387. The reversal of 42428672370 is 7327682424.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 58360947 + ... + 58361673.

It is an arithmetic number, because the mean of its divisors is an integer number (352969344).

Almost surely, 2^42428672370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42428672370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67770114048).

42428672370 is an abundant number, since it is smaller than the sum of its proper divisors (93111555726).

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

42428672370 is a wasteful number, since it uses less digits than its factorization.

42428672370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 42428672370 in words is "forty-two billion, four hundred twenty-eight million, six hundred seventy-two thousand, three hundred seventy".