4130053440 has 224 divisors, whose sum is σ = 14056156800. Its totient is φ = 1023737856.

The previous prime is 4130053409. The next prime is 4130053481. The reversal of 4130053440 is 443500314.

4130053440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4130053440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353036 + ... + 1356084.

It is an arithmetic number, because the mean of its divisors is an integer number (62750700).

Almost surely, 2^4130053440 is an apocalyptic number.

4130053440 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 4130053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028078400).

4130053440 is an abundant number, since it is smaller than the sum of its proper divisors (9926103360).

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

4130053440 is a wasteful number, since it uses less digits than its factorization.

4130053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4130053440 is about 64265.4918288190. The cubic root of 4130053440 is about 1604.4218101561.

Adding to 4130053440 its reverse (443500314), we get a palindrome (4573553754).

The spelling of 4130053440 in words is "four billion, one hundred thirty million, fifty-three thousand, four hundred forty".