641142400 has 48 divisors (see below), whose sum is σ = 1583829990. Its totient is φ = 256455680.

The previous prime is 641142389. The next prime is 641142421. The reversal of 641142400 is 4241146.

It can be written as a sum of positive squares in 3 ways, for example, as 235683904 + 405458496 = 15352^2 + 20136^2 .

It is a super-2 number, since 2×641142400² = 822127154155520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96979 + ... + 103378.

Almost surely, 2^641142400 is an apocalyptic number.

It is an amenable number.

641142400 is an abundant number, since it is smaller than the sum of its proper divisors (942687590).

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

641142400 is a wasteful number, since it uses less digits than its factorization.

641142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200381 (or 200364 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 641142400 is about 25320.7898770951. The cubic root of 641142400 is about 862.2863266817.

Adding to 641142400 its reverse (4241146), we get a palindrome (645383546).

The spelling of 641142400 in words is "six hundred forty-one million, one hundred forty-two thousand, four hundred".