4000674654720 has 400 divisors, whose sum is σ = 14791407003648. Its totient is φ = 1032430510080.

The previous prime is 4000674654709. The next prime is 4000674654763. The reversal of 4000674654720 is 274564760004.

4000674654720 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 67 + 46 + 547 + 2 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 6116977 + ... + 6739343.

Almost surely, 2^{4000674654720} is an apocalyptic number.

4000674654720 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 4000674654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395703501824).

4000674654720 is an abundant number, since it is smaller than the sum of its proper divisors (10790732348928).

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

4000674654720 is an equidigital number, since it uses as much as digits as its factorization.

4000674654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622433 (or 622408 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4000674654720 in words is "four trillion, six hundred seventy-four million, six hundred fifty-four thousand, seven hundred twenty".