407161728000 has 880 divisors, whose sum is σ = 1532893231584. Its totient is φ = 107473305600.

The previous prime is 407161727993. The next prime is 407161728031. The reversal of 407161728000 is 827161704.

407161728000 is a `hidden beast` number, since 407 + 1 + 6 + 172 + 80 + 0 + 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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1793663887 + ... + 1793664113.

Almost surely, 2^407161728000 is an apocalyptic number.

407161728000 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 407161728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766446615792).

407161728000 is an abundant number, since it is smaller than the sum of its proper divisors (1125731503584).

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

407161728000 is a wasteful number, since it uses less digits than its factorization.

407161728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 407161728000 its reverse (827161704), we get a palindrome (407988889704).

The spelling of 407161728000 in words is "four hundred seven billion, one hundred sixty-one million, seven hundred twenty-eight thousand".