4005578509020 has 576 divisors, whose sum is σ = 13761097039872. Its totient is φ = 942568704000.

The previous prime is 4005578508959. The next prime is 4005578509061. The reversal of 4005578509020 is 209058755004.

4005578509020 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 578 + 50 + 9 + 0 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1430051620 + ... + 1430054420.

It is an arithmetic number, because the mean of its divisors is an integer number (23890793472).

Almost surely, 2^{4005578509020} 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 4005578509020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880548519936).

4005578509020 is an abundant number, since it is smaller than the sum of its proper divisors (9755518530852).

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

4005578509020 is a wasteful number, since it uses less digits than its factorization.

4005578509020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 4005578509020 in words is "four trillion, five billion, five hundred seventy-eight million, five hundred nine thousand, twenty".