4020420000 has 240 divisors, whose sum is σ = 13551687072. Its totient is φ = 1042560000.

The previous prime is 4020419989. The next prime is 4020420011. The reversal of 4020420000 is 240204.

It is an interprime number because it is at equal distance from previous prime (4020419989) and next prime (4020420011).

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 2219095 + ... + 2220905.

Almost surely, 2^4020420000 is an apocalyptic number.

4020420000 is a gapful number since it is divisible by the number (40) 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 4020420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775843536).

4020420000 is an abundant number, since it is smaller than the sum of its proper divisors (9531267072).

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

4020420000 is a wasteful number, since it uses less digits than its factorization.

4020420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1858 counting only the distinct ones).

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

The square root of 4020420000 is about 63406.7819716472. The cubic root of 4020420000 is about 1590.0976958285.

Adding to 4020420000 its reverse (240204), we get a palindrome (4020660204).

The spelling of 4020420000 in words is "four billion, twenty million, four hundred twenty thousand".