2000420004000 has 384 divisors, whose sum is σ = 7154212875264. Its totient is φ = 484606080000.

The previous prime is 2000420003987. The next prime is 2000420004013. The reversal of 2000420004000 is 4000240002.

It is an interprime number because it is at equal distance from previous prime (2000420003987) and next prime (2000420004013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220039455 + ... + 220048545.

It is an arithmetic number, because the mean of its divisors is an integer number (18630762696).

Almost surely, 2^{2000420004000} is an apocalyptic number.

2000420004000 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 2000420004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577106437632).

2000420004000 is an abundant number, since it is smaller than the sum of its proper divisors (5153792871264).

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

2000420004000 is a wasteful number, since it uses less digits than its factorization.

2000420004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2000420004000 its reverse (4000240002), we get a palindrome (2004420244002).

The spelling of 2000420004000 in words is "two trillion, four hundred twenty million, four thousand".