1129225743360 has 1584 divisors, whose sum is σ = 4811472320928. Its totient is φ = 252255928320.

The previous prime is 1129225743319. The next prime is 1129225743383. The reversal of 1129225743360 is 633475229211.

It is a happy number.

1129225743360 is a `hidden beast` number, since 1 + 1 + 29 + 22 + 574 + 3 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1957063392 + ... + 1957063968.

Almost surely, 2^{1129225743360} is an apocalyptic number.

1129225743360 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 1129225743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405736160464).

1129225743360 is an abundant number, since it is smaller than the sum of its proper divisors (3682246577568).

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

1129225743360 is a wasteful number, since it uses less digits than its factorization.

1129225743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1129225743360 in words is "one trillion, one hundred twenty-nine billion, two hundred twenty-five million, seven hundred forty-three thousand, three hundred sixty".