1011412024400 has 60 divisors (see below), whose sum is σ = 2430210746364. Its totient is φ = 404515968000.

The previous prime is 1011412024393. The next prime is 1011412024421. The reversal of 1011412024400 is 44202141101.

It can be written as a sum of positive squares in 6 ways, for example, as 3671056 + 1011408353344 = 1916^2 + 1005688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3260030 + ... + 3556770.

Almost surely, 2^{1011412024400} is an apocalyptic number.

1011412024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011412024400 is an abundant number, since it is smaller than the sum of its proper divisors (1418798721964).

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

1011412024400 is a wasteful number, since it uses less digits than its factorization.

1011412024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305280 (or 305269 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1011412024400 its reverse (44202141101), we get a palindrome (1055614165501).

The spelling of 1011412024400 in words is "one trillion, eleven billion, four hundred twelve million, twenty-four thousand, four hundred".