4282943302440 has 576 divisors, whose sum is σ = 16800098777280. Its totient is φ = 977208883200.

The previous prime is 4282943302411. The next prime is 4282943302459. The reversal of 4282943302440 is 442033492824.

It is a happy number.

4282943302440 is a `hidden beast` number, since 4 + 2 + 8 + 294 + 330 + 24 + 4 + 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 143 ways as a sum of consecutive naturals, for example, 19886935 + ... + 20101145.

It is an arithmetic number, because the mean of its divisors is an integer number (29166838155).

Almost surely, 2^{4282943302440} is an apocalyptic number.

4282943302440 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 4282943302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400049388640).

4282943302440 is an abundant number, since it is smaller than the sum of its proper divisors (12517155474840).

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

4282943302440 is a wasteful number, since it uses less digits than its factorization.

4282943302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214276 (or 214249 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 4282943302440 in words is "four trillion, two hundred eighty-two billion, nine hundred forty-three million, three hundred two thousand, four hundred forty".