1126010440400 has 60 divisors (see below), whose sum is σ = 2705522243232. Its totient is φ = 450357198720.

The previous prime is 1126010440349. The next prime is 1126010440441. The reversal of 1126010440400 is 40440106211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3827357 + ... + 4111043.

Almost surely, 2^{1126010440400} is an apocalyptic number.

1126010440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126010440400 is an abundant number, since it is smaller than the sum of its proper divisors (1579511802832).

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

1126010440400 is a wasteful number, since it uses less digits than its factorization.

1126010440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293628 (or 293617 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1126010440400 its reverse (40440106211), we get a palindrome (1166450546611).

The spelling of 1126010440400 in words is "one trillion, one hundred twenty-six billion, ten million, four hundred forty thousand, four hundred".