4181253120 has 528 divisors, whose sum is σ = 16163308512. Its totient is φ = 990904320.

The previous prime is 4181253091. The next prime is 4181253133. The reversal of 4181253120 is 213521814.

4181253120 is a `hidden beast` number, since 418 + 125 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37002184 + ... + 37002296.

Almost surely, 2^4181253120 is an apocalyptic number.

4181253120 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 4181253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081654256).

4181253120 is an abundant number, since it is smaller than the sum of its proper divisors (11982055392).

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

4181253120 is a wasteful number, since it uses less digits than its factorization.

4181253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4181253120 is about 64662.6099071171. The cubic root of 4181253120 is about 1611.0245295401.

Adding to 4181253120 its reverse (213521814), we get a palindrome (4394774934).

The spelling of 4181253120 in words is "four billion, one hundred eighty-one million, two hundred fifty-three thousand, one hundred twenty".