4020645440 has 112 divisors (see below), whose sum is σ = 11295058944. Its totient is φ = 1334016000.

The previous prime is 4020645397. The next prime is 4020645451. The reversal of 4020645440 is 445460204.

It is a happy number.

4020645440 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 (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40490 + ... + 98390.

Almost surely, 2^4020645440 is an apocalyptic number.

4020645440 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 4020645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647529472).

4020645440 is an abundant number, since it is smaller than the sum of its proper divisors (7274413504).

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

4020645440 is a wasteful number, since it uses less digits than its factorization.

4020645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57956 (or 57946 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 4020645440 is about 63408.5596745424. The cubic root of 4020645440 is about 1590.1274161831.

The spelling of 4020645440 in words is "four billion, twenty million, six hundred forty-five thousand, four hundred forty".