4262161026816 has 1296 divisors, whose sum is σ = 16709789870592. Its totient is φ = 1058620907520.

The previous prime is 4262161026763. The next prime is 4262161026821. The reversal of 4262161026816 is 6186201612624.

It is a happy number.

4262161026816 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 1 + 610 + 26 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1211872290 + ... + 1211875806.

Almost surely, 2^{4262161026816} is an apocalyptic number.

4262161026816 is a gapful number since it is divisible by the number (46) 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 4262161026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354894935296).

4262161026816 is an abundant number, since it is smaller than the sum of its proper divisors (12447628843776).

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

4262161026816 is a wasteful number, since it uses less digits than its factorization.

4262161026816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4262161026816 in words is "four trillion, two hundred sixty-two billion, one hundred sixty-one million, twenty-six thousand, eight hundred sixteen".