33985156055040 has 448 divisors, whose sum is σ = 122289182926200. Its totient is φ = 9062676430848.

The previous prime is 33985156055023. The next prime is 33985156055047. The reversal of 33985156055040 is 4055065158933.

33985156055040 is a `hidden beast` number, since 3 + 3 + 9 + 85 + 1 + 5 + 6 + 0 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33985156055047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119297091 + ... + 119581629.

Almost surely, 2^{33985156055040} is an apocalyptic number.

33985156055040 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 33985156055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61144591463100).

33985156055040 is an abundant number, since it is smaller than the sum of its proper divisors (88304026871160).

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

33985156055040 is an frugal number, since it uses more digits than its factorization.

33985156055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284592 (or 284549 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 33985156055040 in words is "thirty-three trillion, nine hundred eighty-five billion, one hundred fifty-six million, fifty-five thousand, forty".