1129621127040 has 320 divisors, whose sum is σ = 4610379771360. Its totient is φ = 258199031808.

The previous prime is 1129621127027. The next prime is 1129621127057. The reversal of 1129621127040 is 407211269211.

1129621127040 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 621 + 1 + 27 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1129621126986 and 1129621127004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1193587 + ... + 1919346.

Almost surely, 2^{1129621127040} is an apocalyptic number.

1129621127040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1129621127040 is an abundant number, since it is smaller than the sum of its proper divisors (3480758644320).

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

1129621127040 is an equidigital number, since it uses as much as digits as its factorization.

1129621127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112971 (or 3112950 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1129621127040 in words is "one trillion, one hundred twenty-nine billion, six hundred twenty-one million, one hundred twenty-seven thousand, forty".