4299942205440 has 1440 divisors, whose sum is σ = 18044025199200. Its totient is φ = 976536207360.

The previous prime is 4299942205421. The next prime is 4299942205451. The reversal of 4299942205440 is 445022499924.

4299942205440 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 94 + 2 + 2 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4299942205440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9794856741 + ... + 9794857179.

It is an arithmetic number, because the mean of its divisors is an integer number (12530573055).

Almost surely, 2^{4299942205440} is an apocalyptic number.

4299942205440 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 4299942205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022012599600).

4299942205440 is an abundant number, since it is smaller than the sum of its proper divisors (13744082993760).

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

4299942205440 is a wasteful number, since it uses less digits than its factorization.

4299942205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4299942205440 in words is "four trillion, two hundred ninety-nine billion, nine hundred forty-two million, two hundred five thousand, four hundred forty".