4020042400 has 144 divisors (see below), whose sum is σ = 10814495328. Its totient is φ = 1447040000.

The previous prime is 4020042391. The next prime is 4020042443. The reversal of 4020042400 is 42400204.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886539 + ... + 891061.

It is an arithmetic number, because the mean of its divisors is an integer number (75100662).

Almost surely, 2^4020042400 is an apocalyptic number.

4020042400 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 4020042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407247664).

4020042400 is an abundant number, since it is smaller than the sum of its proper divisors (6794452928).

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

4020042400 is a wasteful number, since it uses less digits than its factorization.

4020042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4020042400 is about 63403.8043022656. The cubic root of 4020042400 is about 1590.0479133275.

Adding to 4020042400 its reverse (42400204), we get a palindrome (4062442604).

It can be divided in two parts, 402004 and 2400, that added together give a palindrome (404404).

The spelling of 4020042400 in words is "four billion, twenty million, forty-two thousand, four hundred".