4130206578432 has 720 divisors, whose sum is σ = 14026476119040. Its totient is φ = 1197412761600.

The previous prime is 4130206578383. The next prime is 4130206578493. The reversal of 4130206578432 is 2348756020314.

4130206578432 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 206 + 5 + 7 + 8 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 629313583 + ... + 629320145.

It is an arithmetic number, because the mean of its divisors is an integer number (19481216832).

Almost surely, 2^{4130206578432} 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 4130206578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013238059520).

4130206578432 is an abundant number, since it is smaller than the sum of its proper divisors (9896269540608).

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

4130206578432 is a wasteful number, since it uses less digits than its factorization.

4130206578432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4130206578432 in words is "four trillion, one hundred thirty billion, two hundred six million, five hundred seventy-eight thousand, four hundred thirty-two".