4020526400 has 168 divisors, whose sum is σ = 11142024960. Its totient is φ = 1414656000.

The previous prime is 4020526397. The next prime is 4020526421. The reversal of 4020526400 is 46250204.

4020526400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541916 + ... + 549284.

Almost surely, 2^4020526400 is an apocalyptic number.

4020526400 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 4020526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571012480).

4020526400 is an abundant number, since it is smaller than the sum of its proper divisors (7121498560).

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

4020526400 is a wasteful number, since it uses less digits than its factorization.

4020526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4020526400 is about 63407.6209930636. The cubic root of 4020526400 is about 1590.1117229618. Note that the first 3 decimals are identical.

Adding to 4020526400 its reverse (46250204), we get a palindrome (4066776604).

The spelling of 4020526400 in words is "four billion, twenty million, five hundred twenty-six thousand, four hundred".