4045461552 has 120 divisors (see below), whose sum is σ = 12386350080. Its totient is φ = 1222381440.

The previous prime is 4045461527. The next prime is 4045461587. The reversal of 4045461552 is 2551645404.

4045461552 is a `hidden beast` number, since 4 + 0 + 45 + 4 + 61 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577849 + ... + 584807.

It is an arithmetic number, because the mean of its divisors is an integer number (103219584).

Almost surely, 2^4045461552 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 4045461552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193175040).

4045461552 is an abundant number, since it is smaller than the sum of its proper divisors (8340888528).

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

4045461552 is a wasteful number, since it uses less digits than its factorization.

4045461552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7351 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4045461552 is about 63603.9428966475. The cubic root of 4045461552 is about 1593.3922212712.

The spelling of 4045461552 in words is "four billion, forty-five million, four hundred sixty-one thousand, five hundred fifty-two".