4141322640 has 480 divisors, whose sum is σ = 17759030016. Its totient is φ = 873400320.

The previous prime is 4141322623. The next prime is 4141322657. The reversal of 4141322640 is 462231414.

It is a happy number.

4141322640 is a `hidden beast` number, since 4 + 1 + 4 + 13 + 2 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4141322623) and next prime (4141322657).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 1767870 + ... + 1770210.

Almost surely, 2^4141322640 is an apocalyptic number.

4141322640 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 4141322640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879515008).

4141322640 is an abundant number, since it is smaller than the sum of its proper divisors (13617707376).

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

4141322640 is a wasteful number, since it uses less digits than its factorization.

4141322640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4141322640 is about 64353.1090158044. The cubic root of 4141322640 is about 1605.8797517734.

The spelling of 4141322640 in words is "four billion, one hundred forty-one million, three hundred twenty-two thousand, six hundred forty".