4086956620800 has 792 divisors, whose sum is σ = 15246295580880. Its totient is φ = 1045109145600.

The previous prime is 4086956620771. The next prime is 4086956620849. The reversal of 4086956620800 is 80266596804.

It is a happy number.

4086956620800 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 9 + 5 + 6 + 620 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557333934 + ... + 557341266.

Almost surely, 2^{4086956620800} is an apocalyptic number.

4086956620800 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 4086956620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623147790440).

4086956620800 is an abundant number, since it is smaller than the sum of its proper divisors (11159338960080).

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

4086956620800 is a wasteful number, since it uses less digits than its factorization.

4086956620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4086956620800 in words is "four trillion, eighty-six billion, nine hundred fifty-six million, six hundred twenty thousand, eight hundred".