4694188279440 has 320 divisors, whose sum is σ = 17388323861760. Its totient is φ = 1034111877120.

The previous prime is 4694188279397. The next prime is 4694188279441. The reversal of 4694188279440 is 449728814964.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (4694188279441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501829 + ... + 3104868.

It is an arithmetic number, because the mean of its divisors is an integer number (54338512068).

Almost surely, 2^{4694188279440} is an apocalyptic number.

4694188279440 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 4694188279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694161930880).

4694188279440 is an abundant number, since it is smaller than the sum of its proper divisors (12694135582320).

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

4694188279440 is a wasteful number, since it uses less digits than its factorization.

4694188279440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606770 (or 3606764 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 4694188279440 in words is "four trillion, six hundred ninety-four billion, one hundred eighty-eight million, two hundred seventy-nine thousand, four hundred forty".