1129213926400 has 528 divisors, whose sum is σ = 3272277473536. Its totient is φ = 378383892480.

The previous prime is 1129213926397. The next prime is 1129213926443. The reversal of 1129213926400 is 46293129211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1957042912 + ... + 1957043488.

Almost surely, 2^{1129213926400} is an apocalyptic number.

1129213926400 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 1129213926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636138736768).

1129213926400 is an abundant number, since it is smaller than the sum of its proper divisors (2143063547136).

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

1129213926400 is a wasteful number, since it uses less digits than its factorization.

1129213926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 1129213926400 in words is "one trillion, one hundred twenty-nine billion, two hundred thirteen million, nine hundred twenty-six thousand, four hundred".