6401042800 has 60 divisors (see below), whose sum is σ = 15705753696. Its totient is φ = 2505932800.

The previous prime is 6401042779. The next prime is 6401042801. The reversal of 6401042800 is 82401046.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401042801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151441 + ... + 189040.

Almost surely, 2^6401042800 is an apocalyptic number.

It is an amenable number.

6401042800 is an abundant number, since it is smaller than the sum of its proper divisors (9304710896).

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

6401042800 is a wasteful number, since it uses less digits than its factorization.

6401042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340546 (or 340535 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 6401042800 is about 80006.5172345353. The cubic root of 6401042800 is about 1856.7363664862.

Adding to 6401042800 its reverse (82401046), we get a palindrome (6483443846).

It can be divided in two parts, 6401042 and 800, that multiplied together give a square (5120833600 = 71560²).

The spelling of 6401042800 in words is "six billion, four hundred one million, forty-two thousand, eight hundred".