4032042010400 has 36 divisors (see below), whose sum is σ = 9843222559842. Its totient is φ = 1612816803840.

The previous prime is 4032042010361. The next prime is 4032042010417. The reversal of 4032042010400 is 40102402304.

It can be written as a sum of positive squares in 3 ways, for example, as 1756759383184 + 2275282627216 = 1325428^2 + 1508404^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 2520025457 + ... + 2520027056.

Almost surely, 2^{4032042010400} is an apocalyptic number.

4032042010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032042010400 is an abundant number, since it is smaller than the sum of its proper divisors (5811180549442).

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

4032042010400 is a wasteful number, since it uses less digits than its factorization.

4032042010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040052533 (or 5040052520 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4032042010400 its reverse (40102402304), we get a palindrome (4072144412704).

The spelling of 4032042010400 in words is "four trillion, thirty-two billion, forty-two million, ten thousand, four hundred".