10401040400 has 60 divisors (see below), whose sum is σ = 25663900932. Its totient is φ = 4047966720.

The previous prime is 10401040387. The next prime is 10401040457. The reversal of 10401040400 is 404010401.

It can be written as a sum of positive squares in 6 ways, for example, as 1975269136 + 8425771264 = 44444^2 + 91792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336587 + ... + 366186.

Almost surely, 2^10401040400 is an apocalyptic number.

10401040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401040400 is an abundant number, since it is smaller than the sum of its proper divisors (15262860532).

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

10401040400 is a wasteful number, since it uses less digits than its factorization.

10401040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702828 (or 702817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10401040400 its reverse (404010401), we get a palindrome (10805050801).

The spelling of 10401040400 in words is "ten billion, four hundred one million, forty thousand, four hundred".