524742400000 has 1152 divisors, whose sum is σ = 1741287300480. Its totient is φ = 153354240000.

The previous prime is 524742399971. The next prime is 524742400001. The reversal of 524742400000 is 4247425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524742400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9900799974 + ... + 9900800026.

It is an arithmetic number, because the mean of its divisors is an integer number (1511534115).

Almost surely, 2^524742400000 is an apocalyptic number.

524742400000 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 524742400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870643650240).

524742400000 is an abundant number, since it is smaller than the sum of its proper divisors (1216544900480).

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

524742400000 is an equidigital number, since it uses as much as digits as its factorization.

524742400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

Adding to 524742400000 its reverse (4247425), we get a palindrome (524746647425).

The spelling of 524742400000 in words is "five hundred twenty-four billion, seven hundred forty-two million, four hundred thousand".