4251522400000 has 432 divisors, whose sum is σ = 11127909643200. Its totient is φ = 1617960960000.

The previous prime is 4251522399959. The next prime is 4251522400009. The reversal of 4251522400000 is 42251524.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251522400009) 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, 4213599496 + ... + 4213600504.

It is an arithmetic number, because the mean of its divisors is an integer number (25759050100).

Almost surely, 2^{4251522400000} is an apocalyptic number.

4251522400000 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 4251522400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563954821600).

4251522400000 is an abundant number, since it is smaller than the sum of its proper divisors (6876387243200).

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

4251522400000 is an equidigital number, since it uses as much as digits as its factorization.

4251522400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 4251522400000 its reverse (42251524), we get a palindrome (4251564651524).

The spelling of 4251522400000 in words is "four trillion, two hundred fifty-one billion, five hundred twenty-two million, four hundred thousand".