4020402000400 has 60 divisors (see below), whose sum is σ = 9754649723844. Its totient is φ = 1592238400000.

The previous prime is 4020402000383. The next prime is 4020402000437. The reversal of 4020402000400 is 40002040204.

It can be written as a sum of positive squares in 6 ways, for example, as 1010981986576 + 3009420013824 = 1005476^2 + 1734768^2 .

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49717051 + ... + 49797850.

Almost surely, 2^{4020402000400} is an apocalyptic number.

4020402000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020402000400 is an abundant number, since it is smaller than the sum of its proper divisors (5734247723444).

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

4020402000400 is a wasteful number, since it uses less digits than its factorization.

4020402000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99515020 (or 99515009 counting only the distinct ones).

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

Adding to 4020402000400 its reverse (40002040204), we get a palindrome (4060404040604).

The spelling of 4020402000400 in words is "four trillion, twenty billion, four hundred two million, four hundred", and thus it is an aban number.