4151268034560 has 576 divisors, whose sum is σ = 14706147456000. Its totient is φ = 1082757611520.

The previous prime is 4151268034517. The next prime is 4151268034577. The reversal of 4151268034560 is 654308621514.

4151268034560 is a `hidden beast` number, since 4 + 1 + 5 + 1 + 2 + 6 + 80 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 793587145 + ... + 793592375.

It is an arithmetic number, because the mean of its divisors is an integer number (25531506000).

Almost surely, 2^{4151268034560} is an apocalyptic number.

4151268034560 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 4151268034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353073728000).

4151268034560 is an abundant number, since it is smaller than the sum of its proper divisors (10554879421440).

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

4151268034560 is a wasteful number, since it uses less digits than its factorization.

4151268034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4151268034560 in words is "four trillion, one hundred fifty-one billion, two hundred sixty-eight million, thirty-four thousand, five hundred sixty".