4202563640 has 64 divisors (see below), whose sum is σ = 10858320000. Its totient is φ = 1447770240.

The previous prime is 4202563571. The next prime is 4202563643. The reversal of 4202563640 is 463652024.

4202563640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4202563640² = 35323082296500099200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4202563597 and 4202563606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202563643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242990 + ... + 259709.

It is an arithmetic number, because the mean of its divisors is an integer number (169661250).

Almost surely, 2^4202563640 is an apocalyptic number.

4202563640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202563640 is an abundant number, since it is smaller than the sum of its proper divisors (6655756360).

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

4202563640 is a wasteful number, since it uses less digits than its factorization.

4202563640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502740 (or 502736 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 4202563640 is about 64827.1828787894. The cubic root of 4202563640 is about 1613.7568530820.

The spelling of 4202563640 in words is "four billion, two hundred two million, five hundred sixty-three thousand, six hundred forty".