4045386240 has 480 divisors, whose sum is σ = 16622686080. Its totient is φ = 923664384.

The previous prime is 4045386239. The next prime is 4045386253. The reversal of 4045386240 is 426835404.

4045386240 is a `hidden beast` number, since 404 + 5 + 3 + 8 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 4045386195 and 4045386204.

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, 4354096 + ... + 4355024.

It is an arithmetic number, because the mean of its divisors is an integer number (34630596).

Almost surely, 2^4045386240 is an apocalyptic number.

4045386240 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 4045386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

4045386240 is an abundant number, since it is smaller than the sum of its proper divisors (12577299840).

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

4045386240 is an frugal number, since it uses more digits than its factorization.

4045386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4045386240 is about 63603.3508551240. The cubic root of 4045386240 is about 1593.3823334584.

The spelling of 4045386240 in words is "four billion, forty-five million, three hundred eighty-six thousand, two hundred forty".