1126144328400 has 2520 divisors, whose sum is σ = 5296703322624. Its totient is φ = 223724851200.

The previous prime is 1126144328377. The next prime is 1126144328453. The reversal of 1126144328400 is 48234416211.

1126144328400 is a `hidden beast` number, since 1 + 1 + 2 + 614 + 4 + 32 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 503 ways as a sum of consecutive naturals, for example, 30436333182 + ... + 30436333218.

Almost surely, 2^{1126144328400} is an apocalyptic number.

1126144328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126144328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648351661312).

1126144328400 is an abundant number, since it is smaller than the sum of its proper divisors (4170558994224).

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

1126144328400 is a wasteful number, since it uses less digits than its factorization.

1126144328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1126144328400 in words is "one trillion, one hundred twenty-six billion, one hundred forty-four million, three hundred twenty-eight thousand, four hundred".