4026816516600 has 1152 divisors, whose sum is σ = 15511953600000. Its totient is φ = 929950433280.

The previous prime is 4026816516587. The next prime is 4026816516607. The reversal of 4026816516600 is 66156186204.

4026816516600 is a `hidden beast` number, since 4 + 0 + 2 + 68 + 16 + 516 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026816516607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3052930741 + ... + 3052932059.

It is an arithmetic number, because the mean of its divisors is an integer number (13465237500).

Almost surely, 2^{4026816516600} is an apocalyptic number.

4026816516600 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 4026816516600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755976800000).

4026816516600 is an abundant number, since it is smaller than the sum of its proper divisors (11485137083400).

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

4026816516600 is a wasteful number, since it uses less digits than its factorization.

4026816516600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4026816516600 in words is "four trillion, twenty-six billion, eight hundred sixteen million, five hundred sixteen thousand, six hundred".