1126327910400 has 1584 divisors, whose sum is σ = 5192614222848. Its totient is φ = 226492416000.

The previous prime is 1126327910381. The next prime is 1126327910413. The reversal of 1126327910400 is 40197236211.

1126327910400 is a `hidden beast` number, since 1 + 1 + 2 + 632 + 7 + 9 + 10 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×1126327910400² (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 71 ways as a sum of consecutive naturals, for example, 36333158385 + ... + 36333158415.

Almost surely, 2^{1126327910400} is an apocalyptic number.

1126327910400 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 1126327910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596307111424).

1126327910400 is an abundant number, since it is smaller than the sum of its proper divisors (4066286312448).

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

1126327910400 is an frugal number, since it uses more digits than its factorization.

1126327910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1126327910400 in words is "one trillion, one hundred twenty-six billion, three hundred twenty-seven million, nine hundred ten thousand, four hundred".