4241320440 has 384 divisors, whose sum is σ = 15433830720. Its totient is φ = 928972800.

The previous prime is 4241320411. The next prime is 4241320453. The reversal of 4241320440 is 440231424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4241320440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17598720 + ... + 17598960.

Almost surely, 2^4241320440 is an apocalyptic number.

4241320440 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 4241320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716915360).

4241320440 is an abundant number, since it is smaller than the sum of its proper divisors (11192510280).

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

4241320440 is a wasteful number, since it uses less digits than its factorization.

4241320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4241320440 is about 65125.4208431700. The cubic root of 4241320440 is about 1618.7024665857.

Adding to 4241320440 its reverse (440231424), we get a palindrome (4681551864).

The spelling of 4241320440 in words is "four billion, two hundred forty-one million, three hundred twenty thousand, four hundred forty".