1133304510400 has 168 divisors, whose sum is σ = 2953896139440. Its totient is φ = 426479370240.

The previous prime is 1133304510391. The next prime is 1133304510509. The reversal of 1133304510400 is 40154033311.

It is a super-2 number, since 2×1133304510400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79117639 + ... + 79131961.

Almost surely, 2^{1133304510400} is an apocalyptic number.

1133304510400 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 1133304510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476948069720).

1133304510400 is an abundant number, since it is smaller than the sum of its proper divisors (1820591629040).

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

1133304510400 is a wasteful number, since it uses less digits than its factorization.

1133304510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17271 (or 17256 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 1133304510400 its reverse (40154033311), we get a palindrome (1173458543711).

The spelling of 1133304510400 in words is "one trillion, one hundred thirty-three billion, three hundred four million, five hundred ten thousand, four hundred".