33404388982272 has 1440 divisors, whose sum is σ = 130518416286720. Its totient is φ = 8395940044800.

The previous prime is 33404388982253. The next prime is 33404388982291. The reversal of 33404388982272 is 27228988340433.

33404388982272 is a `hidden beast` number, since 3 + 3 + 40 + 438 + 8 + 98 + 2 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (33404388982253) and next prime (33404388982291).

It is a super-2 number, since 2×33404388982272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2540830803 + ... + 2540843949.

It is an arithmetic number, because the mean of its divisors is an integer number (90637789088).

Almost surely, 2^{33404388982272} is an apocalyptic number.

33404388982272 is a gapful number since it is divisible by the number (32) 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 33404388982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65259208143360).

33404388982272 is an abundant number, since it is smaller than the sum of its proper divisors (97114027304448).

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

33404388982272 is a wasteful number, since it uses less digits than its factorization.

33404388982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13241 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 33404388982272 in words is "thirty-three trillion, four hundred four billion, three hundred eighty-eight million, nine hundred eighty-two thousand, two hundred seventy-two".