4086154987776 has 243 divisors, whose sum is σ = 12322627682547. Its totient is φ = 1302120483840.

The previous prime is 4086154987763. The next prime is 4086154987793. The reversal of 4086154987776 is 6777894516804.

The square root of 4086154987776 is 2021424.

It is a perfect power (a square), and thus also a powerful number.

4086154987776 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 1 + 549 + 8 + 7 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2231651181 + ... + 2231653011.

Almost surely, 2^{4086154987776} is an apocalyptic number.

4086154987776 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4086154987776 is the 2021424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086154987776

4086154987776 is an abundant number, since it is smaller than the sum of its proper divisors (8236472694771).

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

4086154987776 is an frugal number, since it uses more digits than its factorization.

4086154987776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 4086154987776 in words is "four trillion, eighty-six billion, one hundred fifty-four million, nine hundred eighty-seven thousand, seven hundred seventy-six".