4289062402080 has 672 divisors, whose sum is σ = 16223665167360. Its totient is φ = 1068661278720.

The previous prime is 4289062402061. The next prime is 4289062402127. The reversal of 4289062402080 is 802042609824.

4289062402080 is a `hidden beast` number, since 4 + 28 + 90 + 62 + 402 + 0 + 80 = 666.

It is a super-3 number, since 3×4289062402080³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 104838909 + ... + 104879811.

It is an arithmetic number, because the mean of its divisors is an integer number (24142358880).

Almost surely, 2^{4289062402080} is an apocalyptic number.

4289062402080 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 4289062402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111832583680).

4289062402080 is an abundant number, since it is smaller than the sum of its proper divisors (11934602765280).

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

4289062402080 is a wasteful number, since it uses less digits than its factorization.

4289062402080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40996 (or 40973 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4289062402080 in words is "four trillion, two hundred eighty-nine billion, sixty-two million, four hundred two thousand, eighty".