4152066217404 has 384 divisors, whose sum is σ = 12304941465600. Its totient is φ = 1062389053440.

The previous prime is 4152066217393. The next prime is 4152066217421. The reversal of 4152066217404 is 4047126602514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2046359862 + ... + 2046361890.

It is an arithmetic number, because the mean of its divisors is an integer number (32044118400).

Almost surely, 2^{4152066217404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4152066217404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152470732800).

4152066217404 is an abundant number, since it is smaller than the sum of its proper divisors (8152875248196).

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

4152066217404 is a wasteful number, since it uses less digits than its factorization.

4152066217404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 4152066217404 in words is "four trillion, one hundred fifty-two billion, sixty-six million, two hundred seventeen thousand, four hundred four".