4417770042 has 96 divisors (see below), whose sum is σ = 11982297600. Its totient is φ = 1146991104.

The previous prime is 4417770001. The next prime is 4417770043. The reversal of 4417770042 is 2400777144.

It is a junction number, because it is equal to n+sod(n) for n = 4417769979 and 4417770006.

It is not an unprimeable number, because it can be changed into a prime (4417770043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26559 + ... + 97677.

It is an arithmetic number, because the mean of its divisors is an integer number (124815600).

Almost surely, 2^4417770042 is an apocalyptic number.

4417770042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4417770042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

4417770042 is an abundant number, since it is smaller than the sum of its proper divisors (7564527558).

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

4417770042 is a wasteful number, since it uses less digits than its factorization.

4417770042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71180 (or 71177 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 4417770042 is about 66466.3075700764. The cubic root of 4417770042 is about 1640.8455438069.

The spelling of 4417770042 in words is "four billion, four hundred seventeen million, seven hundred seventy thousand, forty-two".