4080348432000 has 2560 divisors, whose sum is σ = 16926154502400. Its totient is φ = 969847603200.

The previous prime is 4080348431947. The next prime is 4080348432011. The reversal of 4080348432000 is 2348430804.

4080348432000 is a `hidden beast` number, since 408 + 0 + 3 + 4 + 8 + 43 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55895183964 + ... + 55895184036.

Almost surely, 2^{4080348432000} is an apocalyptic number.

4080348432000 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 4080348432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463077251200).

4080348432000 is an abundant number, since it is smaller than the sum of its proper divisors (12845806070400).

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

4080348432000 is a wasteful number, since it uses less digits than its factorization.

4080348432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4080348432000 in words is "four trillion, eighty billion, three hundred forty-eight million, four hundred thirty-two thousand".