4162705920 has 240 divisors, whose sum is σ = 14605493760. Its totient is φ = 1095524352.

The previous prime is 4162705909. The next prime is 4162705927. The reversal of 4162705920 is 295072614.

4162705920 is a `hidden beast` number, since 4 + 1 + 62 + 7 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (4162705927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819017 + ... + 1821303.

It is an arithmetic number, because the mean of its divisors is an integer number (60856224).

Almost surely, 2^4162705920 is an apocalyptic number.

4162705920 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 4162705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302746880).

4162705920 is an abundant number, since it is smaller than the sum of its proper divisors (10442787840).

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

4162705920 is a wasteful number, since it uses less digits than its factorization.

4162705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4162705920 is about 64519.0353306681. The cubic root of 4162705920 is about 1608.6389381837.

The spelling of 4162705920 in words is "four billion, one hundred sixty-two million, seven hundred five thousand, nine hundred twenty".