57441120 has 288 divisors, whose sum is σ = 212357376. Its totient is φ = 13009920.

The previous prime is 57441107. The next prime is 57441121. The reversal of 57441120 is 2114475.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57441121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335819 + ... + 1335861.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 2^57441120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688).

57441120 is an abundant number, since it is smaller than the sum of its proper divisors (154916256).

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

57441120 is a wasteful number, since it uses less digits than its factorization.

57441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57441120 is about 7578.9920174123. The cubic root of 57441120 is about 385.8403413193.

Adding to 57441120 its reverse (2114475), we get a palindrome (59555595).

The spelling of 57441120 in words is "fifty-seven million, four hundred forty-one thousand, one hundred twenty".