4530641940 has 288 divisors, whose sum is σ = 15592292352. Its totient is φ = 1054944000.

The previous prime is 4530641911. The next prime is 4530641963. The reversal of 4530641940 is 491460354.

4530641940 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 641 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4530641895 and 4530641904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13687575 + ... + 13687905.

It is an arithmetic number, because the mean of its divisors is an integer number (54139904).

Almost surely, 2^4530641940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4530641940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796146176).

4530641940 is an abundant number, since it is smaller than the sum of its proper divisors (11061650412).

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

4530641940 is a wasteful number, since it uses less digits than its factorization.

4530641940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4530641940 is about 67310.0433813558. The cubic root of 4530641940 is about 1654.7024641356.

The spelling of 4530641940 in words is "four billion, five hundred thirty million, six hundred forty-one thousand, nine hundred forty".