4077493877952 has 840 divisors, whose sum is σ = 14307821534160. Its totient is φ = 1143034675200.

The previous prime is 4077493877881. The next prime is 4077493877953. The reversal of 4077493877952 is 2597783947704.

4077493877952 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 493 + 87 + 7 + 9 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4077493877953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 629142552 + ... + 629149032.

It is an arithmetic number, because the mean of its divisors is an integer number (17033120874).

Almost surely, 2^{4077493877952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077493877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153910767080).

4077493877952 is an abundant number, since it is smaller than the sum of its proper divisors (10230327656208).

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

4077493877952 is a wasteful number, since it uses less digits than its factorization.

4077493877952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 4077493877952 in words is "four trillion, seventy-seven billion, four hundred ninety-three million, eight hundred seventy-seven thousand, nine hundred fifty-two".