1128363566400 has 840 divisors, whose sum is σ = 4772062770816. Its totient is φ = 256172544000.

The previous prime is 1128363566389. The next prime is 1128363566411. The reversal of 1128363566400 is 46653638211.

1128363566400 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 635 + 6 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1128363566389) and next prime (1128363566411).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 136983082 + ... + 136991318.

Almost surely, 2^{1128363566400} is an apocalyptic number.

1128363566400 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 1128363566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386031385408).

1128363566400 is an abundant number, since it is smaller than the sum of its proper divisors (3643699204416).

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

1128363566400 is a wasteful number, since it uses less digits than its factorization.

1128363566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1128363566400 in words is "one trillion, one hundred twenty-eight billion, three hundred sixty-three million, five hundred sixty-six thousand, four hundred".