10404302214400 has 54 divisors (see below), whose sum is σ = 25752273668702. Its totient is φ = 4161720883200.

The previous prime is 10404302214373. The next prime is 10404302214419. The reversal of 10404302214400 is 441220340401.

It can be written as a sum of positive squares in 3 ways, for example, as 2571379016704 + 7832923197696 = 1603552^2 + 2798736^2 .

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

It is a congruent number.

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, 812829711 + ... + 812842510.

Almost surely, 2^{10404302214400} is an apocalyptic number.

10404302214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404302214400 is an abundant number, since it is smaller than the sum of its proper divisors (15347971454302).

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

10404302214400 is an equidigital number, since it uses as much as digits as its factorization.

10404302214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625672247 (or 1625672228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10404302214400 its reverse (441220340401), we get a palindrome (10845522554801).

The spelling of 10404302214400 in words is "ten trillion, four hundred four billion, three hundred two million, two hundred fourteen thousand, four hundred".