33997224455040 has 512 divisors, whose sum is σ = 139464125153280. Its totient is φ = 6836474880000.

The previous prime is 33997224455039. The next prime is 33997224455083. The reversal of 33997224455040 is 4055442279933.

It is a super-2 number, since 2×33997224455040² (a number of 28 digits) contains 22 as substring.

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, 874015 + ... + 8292065.

It is an arithmetic number, because the mean of its divisors is an integer number (272390869440).

Almost surely, 2^{33997224455040} is an apocalyptic number.

33997224455040 is a gapful number since it is divisible by the number (30) 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 33997224455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69732062576640).

33997224455040 is an abundant number, since it is smaller than the sum of its proper divisors (105466900698240).

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

33997224455040 is a wasteful number, since it uses less digits than its factorization.

33997224455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418122 (or 7418110 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 33997224455040 in words is "thirty-three trillion, nine hundred ninety-seven billion, two hundred twenty-four million, four hundred fifty-five thousand, forty".