4174878932406 has 192 divisors, whose sum is σ = 11695036953600. Its totient is φ = 1046124668160.

The previous prime is 4174878932401. The next prime is 4174878932431. The reversal of 4174878932406 is 6042398784714.

4174878932406 is a `hidden beast` number, since 4 + 1 + 7 + 487 + 89 + 32 + 40 + 6 = 666.

It is a super-2 number, since 2×4174878932406² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4174878932401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5241561 + ... + 5985291.

It is an arithmetic number, because the mean of its divisors is an integer number (60911650800).

Almost surely, 2^{4174878932406} is an apocalyptic number.

4174878932406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4174878932406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847518476800).

4174878932406 is an abundant number, since it is smaller than the sum of its proper divisors (7520158021194).

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

4174878932406 is a wasteful number, since it uses less digits than its factorization.

4174878932406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743931 (or 743928 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4174878932406 in words is "four trillion, one hundred seventy-four billion, eight hundred seventy-eight million, nine hundred thirty-two thousand, four hundred six".