4526400000 has 480 divisors, whose sum is σ = 16111218816. Its totient is φ = 1126400000.

The previous prime is 4526399951. The next prime is 4526400007. The reversal of 4526400000 is 46254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 4526400000.

It is not an unprimeable number, because it can be changed into a prime (4526400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110399980 + ... + 110400020.

Almost surely, 2^4526400000 is an apocalyptic number.

4526400000 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 4526400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055609408).

4526400000 is an abundant number, since it is smaller than the sum of its proper divisors (11584818816).

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

4526400000 is an frugal number, since it uses more digits than its factorization.

4526400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4526400000 is about 67278.5255486474. The cubic root of 4526400000 is about 1654.1858824217.

Adding to 4526400000 its reverse (46254), we get a palindrome (4526446254).

The spelling of 4526400000 in words is "four billion, five hundred twenty-six million, four hundred thousand".