1033923725120 has 448 divisors, whose sum is σ = 3041660160000. Its totient is φ = 329384140800.

The previous prime is 1033923725113. The next prime is 1033923725137. The reversal of 1033923725120 is 215273293301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137871131 + ... + 137878629.

It is an arithmetic number, because the mean of its divisors is an integer number (6789420000).

Almost surely, 2^{1033923725120} is an apocalyptic number.

1033923725120 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 1033923725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520830080000).

1033923725120 is an abundant number, since it is smaller than the sum of its proper divisors (2007736434880).

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

1033923725120 is a wasteful number, since it uses less digits than its factorization.

1033923725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 1033923725120 in words is "one trillion, thirty-three billion, nine hundred twenty-three million, seven hundred twenty-five thousand, one hundred twenty".