4353225052400 has 180 divisors, whose sum is σ = 12171772365192. Its totient is φ = 1491844999680.

The previous prime is 4353225052307. The next prime is 4353225052411. The reversal of 4353225052400 is 42505223534.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43324619 + ... + 43424981.

Almost surely, 2^{4353225052400} is an apocalyptic number.

4353225052400 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 4353225052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085886182596).

4353225052400 is an abundant number, since it is smaller than the sum of its proper divisors (7818547312792).

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

4353225052400 is a wasteful number, since it uses less digits than its factorization.

4353225052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102608 (or 102590 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 4353225052400 in words is "four trillion, three hundred fifty-three billion, two hundred twenty-five million, fifty-two thousand, four hundred".