4051663288002 has 144 divisors (see below), whose sum is σ = 9967445429760. Its totient is φ = 1187339472000.

The previous prime is 4051663287967. The next prime is 4051663288027. The reversal of 4051663288002 is 2008823661504.

4051663288002 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 6 + 632 + 8 + 8 + 0 + 0 + 2 = 666.

It is a super-3 number, since 3×4051663288002³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99973899 + ... + 100014417.

It is an arithmetic number, because the mean of its divisors is an integer number (69218371040).

Almost surely, 2^{4051663288002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4051663288002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983722714880).

4051663288002 is an abundant number, since it is smaller than the sum of its proper divisors (5915782141758).

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

4051663288002 is a wasteful number, since it uses less digits than its factorization.

4051663288002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42061 (or 42047 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4051663288002 in words is "four trillion, fifty-one billion, six hundred sixty-three million, two hundred eighty-eight thousand, two".