4020014100204 has 144 divisors (see below), whose sum is σ = 10818919500480. Its totient is φ = 1255967539200.

The previous prime is 4020014100199. The next prime is 4020014100241.

4020014100204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7864132 + ... + 8359700.

It is an arithmetic number, because the mean of its divisors is an integer number (75131385420).

Almost surely, 2^{4020014100204} 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 4020014100204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409459750240).

4020014100204 is an abundant number, since it is smaller than the sum of its proper divisors (6798905400276).

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

4020014100204 is a wasteful number, since it uses less digits than its factorization.

4020014100204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495800 (or 495795 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 4020014100204 in words is "four trillion, twenty billion, fourteen million, one hundred thousand, two hundred four".