8406142156800 has 1944 divisors, whose sum is σ = 34548002130096. Its totient is φ = 2018047426560.

The previous prime is 8406142156781. The next prime is 8406142156859. The reversal of 8406142156800 is 86512416048.

It is a happy number.

8406142156800 is a `hidden beast` number, since 8 + 4 + 0 + 61 + 4 + 21 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 365484441589 + ... + 365484441611.

It is an arithmetic number, because the mean of its divisors is an integer number (17771606034).

Almost surely, 2^{8406142156800} is an apocalyptic number.

8406142156800 is a gapful number since it is divisible by the number (80) 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 8406142156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274001065048).

8406142156800 is an abundant number, since it is smaller than the sum of its proper divisors (26141859973296).

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

8406142156800 is an frugal number, since it uses more digits than its factorization.

8406142156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8406142156800 in words is "eight trillion, four hundred six billion, one hundred forty-two million, one hundred fifty-six thousand, eight hundred".