4241283431440 has 320 divisors, whose sum is σ = 11401948800000. Its totient is φ = 1451034224640.

The previous prime is 4241283431417. The next prime is 4241283431491. The reversal of 4241283431440 is 441343821424.

It is a super-2 number, since 2×4241283431440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4241283431393 and 4241283431402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2829407811 + ... + 2829409309.

It is an arithmetic number, because the mean of its divisors is an integer number (35631090000).

Almost surely, 2^{4241283431440} is an apocalyptic number.

4241283431440 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 4241283431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700974400000).

4241283431440 is an abundant number, since it is smaller than the sum of its proper divisors (7160665368560).

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

4241283431440 is a wasteful number, since it uses less digits than its factorization.

4241283431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 4241283431440 in words is "four trillion, two hundred forty-one billion, two hundred eighty-three million, four hundred thirty-one thousand, four hundred forty".