4289837642640 has 960 divisors, whose sum is σ = 17400463441920. Its totient is φ = 935400960000.

The previous prime is 4289837642593. The next prime is 4289837642641. The reversal of 4289837642640 is 462467389824.

4289837642640 is a `hidden beast` number, since 4 + 28 + 9 + 83 + 76 + 426 + 40 = 666.

It is a super-2 number, since 2×4289837642640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4289837642641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247229965 + ... + 247247315.

It is an arithmetic number, because the mean of its divisors is an integer number (18125482752).

Almost surely, 2^{4289837642640} is an apocalyptic number.

4289837642640 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 4289837642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700231720960).

4289837642640 is an abundant number, since it is smaller than the sum of its proper divisors (13110625799280).

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

4289837642640 is a wasteful number, since it uses less digits than its factorization.

4289837642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484 (or 17475 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 4289837642640 in words is "four trillion, two hundred eighty-nine billion, eight hundred thirty-seven million, six hundred forty-two thousand, six hundred forty".