4202626560 has 160 divisors (see below), whose sum is σ = 14656954752. Its totient is φ = 1018798080.

The previous prime is 4202626513. The next prime is 4202626577. The reversal of 4202626560 is 656262024.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59607 + ... + 109353.

Almost surely, 2^4202626560 is an apocalyptic number.

4202626560 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 4202626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328477376).

4202626560 is an abundant number, since it is smaller than the sum of its proper divisors (10454328192).

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

4202626560 is a wasteful number, since it uses less digits than its factorization.

4202626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49784 (or 49768 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4202626560 is about 64827.6681672263. The cubic root of 4202626560 is about 1613.7649066641.

Adding to 4202626560 its reverse (656262024), we get a palindrome (4858888584).

It can be divided in two parts, 42026 and 26560, that added together give a palindrome (68586).

The spelling of 4202626560 in words is "four billion, two hundred two million, six hundred twenty-six thousand, five hundred sixty".