4023526400 has 132 divisors (see below), whose sum is σ = 10114791972. Its totient is φ = 1586626560.

The previous prime is 4023526399. The next prime is 4023526433. The reversal of 4023526400 is 46253204.

It can be written as a sum of positive squares in 6 ways, for example, as 507510784 + 3516015616 = 22528^2 + 59296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4023526400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1867724 + ... + 1869876.

Almost surely, 2^4023526400 is an apocalyptic number.

4023526400 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 4023526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057395986).

4023526400 is an abundant number, since it is smaller than the sum of its proper divisors (6091265572).

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

4023526400 is a wasteful number, since it uses less digits than its factorization.

4023526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4023526400 is about 63431.2730441381. The cubic root of 4023526400 is about 1590.5071230240.

Adding to 4023526400 its reverse (46253204), we get a palindrome (4069779604).

The spelling of 4023526400 in words is "four billion, twenty-three million, five hundred twenty-six thousand, four hundred".