4132229914800 has 480 divisors, whose sum is σ = 16002379184960. Its totient is φ = 1006674739200.

The previous prime is 4132229914789. The next prime is 4132229914849. The reversal of 4132229914800 is 84199222314.

4132229914800 is a `hidden beast` number, since 41 + 3 + 22 + 29 + 91 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13467090 + ... + 13770510.

Almost surely, 2^{4132229914800} is an apocalyptic number.

4132229914800 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 4132229914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001189592480).

4132229914800 is an abundant number, since it is smaller than the sum of its proper divisors (11870149270160).

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

4132229914800 is a wasteful number, since it uses less digits than its factorization.

4132229914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303558 (or 303541 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4132229914800 in words is "four trillion, one hundred thirty-two billion, two hundred twenty-nine million, nine hundred fourteen thousand, eight hundred".