4170406944 has 192 divisors, whose sum is σ = 12645642240. Its totient is φ = 1191429120.

The previous prime is 4170406931. The next prime is 4170406951. The reversal of 4170406944 is 4496040714.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315249 + ... + 1318415.

It is an arithmetic number, because the mean of its divisors is an integer number (65862720).

Almost surely, 2^4170406944 is an apocalyptic number.

4170406944 is a gapful number since it is divisible by the number (44) 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 4170406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322821120).

4170406944 is an abundant number, since it is smaller than the sum of its proper divisors (8475235296).

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

4170406944 is a wasteful number, since it uses less digits than its factorization.

4170406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4170406944 is about 64578.6880015381. The cubic root of 4170406944 is about 1609.6303234159.

It can be divided in two parts, 4170 and 406944, that added together give a palindrome (411114).

The spelling of 4170406944 in words is "four billion, one hundred seventy million, four hundred six thousand, nine hundred forty-four".