4289962066800 has 240 divisors, whose sum is σ = 14467816560000. Its totient is φ = 1083602672640.

The previous prime is 4289962066783. The next prime is 4289962066807. The reversal of 4289962066800 is 86602699824.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289962066807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191942026 + ... + 191964374.

It is an arithmetic number, because the mean of its divisors is an integer number (60282569000).

Almost surely, 2^{4289962066800} is an apocalyptic number.

4289962066800 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 4289962066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233908280000).

4289962066800 is an abundant number, since it is smaller than the sum of its proper divisors (10177854493200).

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

4289962066800 is a wasteful number, since it uses less digits than its factorization.

4289962066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30808 (or 30797 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 4289962066800 in words is "four trillion, two hundred eighty-nine billion, nine hundred sixty-two million, sixty-six thousand, eight hundred".