33481383143040 has 1536 divisors, whose sum is σ = 146065697280000. Its totient is φ = 7080598167552.

The previous prime is 33481383143017. The next prime is 33481383143057. The reversal of 33481383143040 is 4034138318433.

33481383143040 is a `hidden beast` number, since 3 + 3 + 48 + 138 + 3 + 1 + 430 + 40 = 666.

It is a super-2 number, since 2×33481383143040² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4249441821 + ... + 4249449699.

It is an arithmetic number, because the mean of its divisors is an integer number (95094855000).

Almost surely, 2^{33481383143040} is an apocalyptic number.

33481383143040 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 33481383143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73032848640000).

33481383143040 is an abundant number, since it is smaller than the sum of its proper divisors (112584314136960).

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

33481383143040 is a wasteful number, since it uses less digits than its factorization.

33481383143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8019 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 33481383143040 in words is "thirty-three trillion, four hundred eighty-one billion, three hundred eighty-three million, one hundred forty-three thousand, forty".