2004117942420 has 480 divisors, whose sum is σ = 6927517973376. Its totient is φ = 482973580800.

The previous prime is 2004117942403. The next prime is 2004117942521. The reversal of 2004117942420 is 242497114002.

It is a happy number.

2004117942420 is a `hidden beast` number, since 2 + 0 + 0 + 41 + 179 + 424 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 783775782 + ... + 783778338.

Almost surely, 2^{2004117942420} is an apocalyptic number.

2004117942420 is a gapful number since it is divisible by the number (20) 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 2004117942420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463758986688).

2004117942420 is an abundant number, since it is smaller than the sum of its proper divisors (4923400030956).

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

2004117942420 is a wasteful number, since it uses less digits than its factorization.

2004117942420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2004117942420 in words is "two trillion, four billion, one hundred seventeen million, nine hundred forty-two thousand, four hundred twenty".