4145670720 has 560 divisors, whose sum is σ = 15613855488. Its totient is φ = 1042882560.

The previous prime is 4145670713. The next prime is 4145670773. The reversal of 4145670720 is 270765414.

4145670720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49947799 + ... + 49947881.

Almost surely, 2^4145670720 is an apocalyptic number.

4145670720 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 4145670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806927744).

4145670720 is an abundant number, since it is smaller than the sum of its proper divisors (11468184768).

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

4145670720 is a wasteful number, since it uses less digits than its factorization.

4145670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4145670720 is about 64386.8831362413. The cubic root of 4145670720 is about 1606.4415731980.

The spelling of 4145670720 in words is "four billion, one hundred forty-five million, six hundred seventy thousand, seven hundred twenty".