33274284114240 has 1120 divisors, whose sum is σ = 129735442636800. Its totient is φ = 8046139981824.

The previous prime is 33274284114229. The next prime is 33274284114259. The reversal of 33274284114240 is 4241148247233.

33274284114240 is a `hidden beast` number, since 3 + 3 + 2 + 7 + 428 + 41 + 142 + 40 = 666.

It is a super-2 number, since 2×33274284114240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4407769986 + ... + 4407777534.

It is an arithmetic number, because the mean of its divisors is an integer number (115835216640).

Almost surely, 2^{33274284114240} is an apocalyptic number.

33274284114240 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 33274284114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64867721318400).

33274284114240 is an abundant number, since it is smaller than the sum of its proper divisors (96461158522560).

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

33274284114240 is a wasteful number, since it uses less digits than its factorization.

33274284114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 33274284114240 in words is "thirty-three trillion, two hundred seventy-four billion, two hundred eighty-four million, one hundred fourteen thousand, two hundred forty".