4051266363648 has 864 divisors, whose sum is σ = 14059790244864. Its totient is φ = 1097882615808.

The previous prime is 4051266363623. The next prime is 4051266363671. The reversal of 4051266363648 is 8463636621504.

4051266363648 is a `hidden beast` number, since 4 + 0 + 512 + 6 + 6 + 3 + 63 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4051266363594 and 4051266363603.

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 95 ways as a sum of consecutive naturals, for example, 4277999911 + ... + 4278000857.

It is an arithmetic number, because the mean of its divisors is an integer number (16272905376).

Almost surely, 2^{4051266363648} is an apocalyptic number.

4051266363648 is a gapful number since it is divisible by the number (48) 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 4051266363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029895122432).

4051266363648 is an abundant number, since it is smaller than the sum of its proper divisors (10008523881216).

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

4051266363648 is a wasteful number, since it uses less digits than its factorization.

4051266363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 4051266363648 in words is "four trillion, fifty-one billion, two hundred sixty-six million, three hundred sixty-three thousand, six hundred forty-eight".