4045355424 has 288 divisors, whose sum is σ = 12991829760. Its totient is φ = 1183488000.

The previous prime is 4045355401. The next prime is 4045355441. The reversal of 4045355424 is 4245535404.

4045355424 is a `hidden beast` number, since 40 + 45 + 3 + 554 + 24 = 666.

4045355424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 15038362 + ... + 15038630.

It is an arithmetic number, because the mean of its divisors is an integer number (45110520).

Almost surely, 2^4045355424 is an apocalyptic number.

4045355424 is a gapful number since it is divisible by the number (44) 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 4045355424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495914880).

4045355424 is an abundant number, since it is smaller than the sum of its proper divisors (8946474336).

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

4045355424 is a wasteful number, since it uses less digits than its factorization.

4045355424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 4045355424 is about 63603.1086032750. The cubic root of 4045355424 is about 1593.3782875493.

The spelling of 4045355424 in words is "four billion, forty-five million, three hundred fifty-five thousand, four hundred twenty-four".