4164073920 has 140 divisors (see below), whose sum is σ = 14812435704. Its totient is φ = 1110412800.

The previous prime is 4164073889. The next prime is 4164074051. The reversal of 4164073920 is 293704614.

4164073920 is a `hidden beast` number, since 4 + 1 + 640 + 7 + 3 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×4164073920² = 34679023222448332800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54406 + ... + 106245.

Almost surely, 2^4164073920 is an apocalyptic number.

4164073920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4164073920 is an abundant number, since it is smaller than the sum of its proper divisors (10648361784).

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

4164073920 is a wasteful number, since it uses less digits than its factorization.

4164073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160680 (or 160661 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4164073920 is about 64529.6359822369. The cubic root of 4164073920 is about 1608.8151358373.

The spelling of 4164073920 in words is "four billion, one hundred sixty-four million, seventy-three thousand, nine hundred twenty".