4024771812144 has 160 divisors (see below), whose sum is σ = 12195469440000. Its totient is φ = 1267337892096.

The previous prime is 4024771812119. The next prime is 4024771812223. The reversal of 4024771812144 is 4412181774204.

4024771812144 is a `hidden beast` number, since 4 + 0 + 2 + 477 + 18 + 121 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4024771812144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162089 + ... + 3567095.

It is an arithmetic number, because the mean of its divisors is an integer number (76221684000).

Almost surely, 2^{4024771812144} 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 4024771812144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097734720000).

4024771812144 is an abundant number, since it is smaller than the sum of its proper divisors (8170697627856).

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

4024771812144 is a wasteful number, since it uses less digits than its factorization.

4024771812144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405392 (or 1405380 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 4024771812144 in words is "four trillion, twenty-four billion, seven hundred seventy-one million, eight hundred twelve thousand, one hundred forty-four".