4100057920 has 112 divisors (see below), whose sum is σ = 11179820160. Its totient is φ = 1402988544.

The previous prime is 4100057891. The next prime is 4100057957. The reversal of 4100057920 is 297500014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1385082 + ... + 1388038.

Almost surely, 2^4100057920 is an apocalyptic number.

4100057920 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 4100057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589910080).

4100057920 is an abundant number, since it is smaller than the sum of its proper divisors (7079762240).

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

4100057920 is a wasteful number, since it uses less digits than its factorization.

4100057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 4100057920 is about 64031.6946519456. The cubic root of 4100057920 is about 1600.5282006084.

Adding to 4100057920 its reverse (297500014), we get a palindrome (4397557934).

The spelling of 4100057920 in words is "four billion, one hundred million, fifty-seven thousand, nine hundred twenty".