1133441480400 has 120 divisors (see below), whose sum is σ = 3747913284864. Its totient is φ = 292501017600.

The previous prime is 1133441480393. The next prime is 1133441480443. The reversal of 1133441480400 is 40841443311.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 15197229 + ... + 15271628.

Almost surely, 2^{1133441480400} is an apocalyptic number.

1133441480400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133441480400 is an abundant number, since it is smaller than the sum of its proper divisors (2614471804464).

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

1133441480400 is a wasteful number, since it uses less digits than its factorization.

1133441480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30468909 (or 30468898 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 1133441480400 in words is "one trillion, one hundred thirty-three billion, four hundred forty-one million, four hundred eighty thousand, four hundred".