1023442808400 has 210 divisors, whose sum is σ = 3686546636750. Its totient is φ = 272918004480.

The previous prime is 1023442808389. The next prime is 1023442808419. The reversal of 1023442808400 is 48082443201.

1023442808400 is a `hidden beast` number, since 10 + 234 + 4 + 2 + 8 + 0 + 8 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 35557890624 + 987884917776 = 188568^2 + 993924^2 .

It is a super-2 number, since 2×1023442808400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1463275 + ... + 2046474.

Almost surely, 2^{1023442808400} is an apocalyptic number.

1023442808400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023442808400 is an abundant number, since it is smaller than the sum of its proper divisors (2663103828350).

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

1023442808400 is an equidigital number, since it uses as much as digits as its factorization.

1023442808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509785 (or 3509759 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 1023442808400 in words is "one trillion, twenty-three billion, four hundred forty-two million, eight hundred eight thousand, four hundred".