4298365440 has 400 divisors, whose sum is σ = 16220524320. Its totient is φ = 1084907520.

The previous prime is 4298365433. The next prime is 4298365451. The reversal of 4298365440 is 445638924.

4298365440 is a `hidden beast` number, since 4 + 29 + 83 + 6 + 544 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 3939295 + ... + 3940385.

Almost surely, 2^4298365440 is an apocalyptic number.

4298365440 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 4298365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110262160).

4298365440 is an abundant number, since it is smaller than the sum of its proper divisors (11922158880).

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

4298365440 is a wasteful number, since it uses less digits than its factorization.

4298365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4298365440 is about 65561.9206552096. The cubic root of 4298365440 is about 1625.9272580848.

The spelling of 4298365440 in words is "four billion, two hundred ninety-eight million, three hundred sixty-five thousand, four hundred forty".