1074792349120 has 224 divisors, whose sum is σ = 3103974691200. Its totient is φ = 346045808640.

The previous prime is 1074792349117. The next prime is 1074792349121. The reversal of 1074792349120 is 219432974701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074792349121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17066490 + ... + 17129350.

Almost surely, 2^{1074792349120} is an apocalyptic number.

1074792349120 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 1074792349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551987345600).

1074792349120 is an abundant number, since it is smaller than the sum of its proper divisors (2029182342080).

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

1074792349120 is a wasteful number, since it uses less digits than its factorization.

1074792349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63351 (or 63341 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 1074792349120 in words is "one trillion, seventy-four billion, seven hundred ninety-two million, three hundred forty-nine thousand, one hundred twenty".