523430440000 has 280 divisors, whose sum is σ = 1417029124280. Its totient is φ = 190605312000.

The previous prime is 523430439953. The next prime is 523430440021. The reversal of 523430440000 is 44034325.

It can be written as a sum of positive squares in 20 ways, for example, as 490134409216 + 33296030784 = 700096^2 + 182472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37953106 + ... + 37966894.

It is an arithmetic number, because the mean of its divisors is an integer number (5060818301).

Almost surely, 2^523430440000 is an apocalyptic number.

523430440000 is a gapful number since it is divisible by the number (50) 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 523430440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708514562140).

523430440000 is an abundant number, since it is smaller than the sum of its proper divisors (893598684280).

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

523430440000 is a wasteful number, since it uses less digits than its factorization.

523430440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13907 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 523430440000 its reverse (44034325), we get a palindrome (523474474325).

The spelling of 523430440000 in words is "five hundred twenty-three billion, four hundred thirty million, four hundred forty thousand".