4245133401600 has 1920 divisors, whose sum is σ = 18034335728640. Its totient is φ = 856141332480.

The previous prime is 4245133401569. The next prime is 4245133401637. The reversal of 4245133401600 is 61043315424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16518028672 + ... + 16518028928.

It is an arithmetic number, because the mean of its divisors is an integer number (9392883192).

Almost surely, 2^{4245133401600} is an apocalyptic number.

4245133401600 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 4245133401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017167864320).

4245133401600 is an abundant number, since it is smaller than the sum of its proper divisors (13789202327040).

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

4245133401600 is a wasteful number, since it uses less digits than its factorization.

4245133401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 4245133401600 in words is "four trillion, two hundred forty-five billion, one hundred thirty-three million, four hundred one thousand, six hundred".