4015340427264 has 192 divisors, whose sum is σ = 10962387072000. Its totient is φ = 1306642022400.

The previous prime is 4015340427193. The next prime is 4015340427299. The reversal of 4015340427264 is 4627240435104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4015340427264² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43151989 + ... + 43244939.

It is an arithmetic number, because the mean of its divisors is an integer number (57095766000).

Almost surely, 2^{4015340427264} 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 4015340427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481193536000).

4015340427264 is an abundant number, since it is smaller than the sum of its proper divisors (6947046644736).

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

4015340427264 is an equidigital number, since it uses as much as digits as its factorization.

4015340427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93144 (or 93124 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 4015340427264 in words is "four trillion, fifteen billion, three hundred forty million, four hundred twenty-seven thousand, two hundred sixty-four".