4086974361600 has 1560 divisors, whose sum is σ = 16878778907760. Its totient is φ = 970590781440.

The previous prime is 4086974361599. The next prime is 4086974361619. The reversal of 4086974361600 is 61634796804.

4086974361600 is a `hidden beast` number, since 40 + 8 + 6 + 9 + 7 + 436 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3126988147 + ... + 3126989453.

Almost surely, 2^{4086974361600} is an apocalyptic number.

4086974361600 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 4086974361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439389453880).

4086974361600 is an abundant number, since it is smaller than the sum of its proper divisors (12791804546160).

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

4086974361600 is a wasteful number, since it uses less digits than its factorization.

4086974361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4086974361600 in words is "four trillion, eighty-six billion, nine hundred seventy-four million, three hundred sixty-one thousand, six hundred".