10033354345040 has 160 divisors (see below), whose sum is σ = 25312646136960. Its totient is φ = 3676526880768.

The previous prime is 10033354345033. The next prime is 10033354345127. The reversal of 10033354345040 is 4054345333001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410971874 + ... + 410996286.

It is an arithmetic number, because the mean of its divisors is an integer number (158204038356).

Almost surely, 2^{10033354345040} is an apocalyptic number.

10033354345040 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 10033354345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656323068480).

10033354345040 is an abundant number, since it is smaller than the sum of its proper divisors (15279291791920).

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

10033354345040 is a wasteful number, since it uses less digits than its factorization.

10033354345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27421 (or 27415 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 10033354345040 its reverse (4054345333001), we get a palindrome (14087699678041).

The spelling of 10033354345040 in words is "ten trillion, thirty-three billion, three hundred fifty-four million, three hundred forty-five thousand, forty".