1034331601920 has 352 divisors, whose sum is σ = 3470037193728. Its totient is φ = 262650396672.

The previous prime is 1034331601871. The next prime is 1034331601921. The reversal of 1034331601920 is 291061334301.

It is a happy number.

1034331601920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034331601921) 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, 26691679 + ... + 26730401.

Almost surely, 2^{1034331601920} is an apocalyptic number.

1034331601920 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 1034331601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735018596864).

1034331601920 is an abundant number, since it is smaller than the sum of its proper divisors (2435705591808).

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

1034331601920 is a wasteful number, since it uses less digits than its factorization.

1034331601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38835 (or 38817 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 1034331601920 in words is "one trillion, thirty-four billion, three hundred thirty-one million, six hundred one thousand, nine hundred twenty".