4140953280 has 448 divisors, whose sum is σ = 15186111360. Its totient is φ = 1074954240.

The previous prime is 4140953227. The next prime is 4140953287. The reversal of 4140953280 is 823590414.

4140953280 is a `hidden beast` number, since 4 + 1 + 40 + 9 + 532 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140953287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42690192 + ... + 42690288.

It is an arithmetic number, because the mean of its divisors is an integer number (33897570).

Almost surely, 2^4140953280 is an apocalyptic number.

4140953280 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 4140953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593055680).

4140953280 is an abundant number, since it is smaller than the sum of its proper divisors (11045158080).

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

4140953280 is an frugal number, since it uses more digits than its factorization.

4140953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4140953280 is about 64350.2391603947. The cubic root of 4140953280 is about 1605.8320081392.

The spelling of 4140953280 in words is "four billion, one hundred forty million, nine hundred fifty-three thousand, two hundred eighty".