4001420900 has 216 divisors, whose sum is σ = 10055918880. Its totient is φ = 1373137920.

The previous prime is 4001420897. The next prime is 4001420903. The reversal of 4001420900 is 90241004.

It is an interprime number because it is at equal distance from previous prime (4001420897) and next prime (4001420903).

It is a super-2 number, since 2×4001420900² = 32022738437913620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001420903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59722667 + ... + 59722733.

It is an arithmetic number, because the mean of its divisors is an integer number (46555180).

Almost surely, 2^4001420900 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 4001420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027959440).

4001420900 is an abundant number, since it is smaller than the sum of its proper divisors (6054497980).

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

4001420900 is a wasteful number, since it uses less digits than its factorization.

4001420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4001420900 is about 63256.7854067846. The cubic root of 4001420900 is about 1587.5889912293.

Adding to 4001420900 its reverse (90241004), we get a palindrome (4091661904).

The spelling of 4001420900 in words is "four billion, one million, four hundred twenty thousand, nine hundred".