4425531163200 has 3024 divisors, whose sum is σ = 20817777576960. Its totient is φ = 901617868800.

The previous prime is 4425531163199. The next prime is 4425531163247. The reversal of 4425531163200 is 23611355244.

4425531163200 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 5 + 3 + 11 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 72549691170 + ... + 72549691230.

Almost surely, 2^{4425531163200} is an apocalyptic number.

4425531163200 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 4425531163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10408888788480).

4425531163200 is an abundant number, since it is smaller than the sum of its proper divisors (16392246413760).

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

4425531163200 is a wasteful number, since it uses less digits than its factorization.

4425531163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4425531163200 in words is "four trillion, four hundred twenty-five billion, five hundred thirty-one million, one hundred sixty-three thousand, two hundred".