3331029029040 has 160 divisors (see below), whose sum is σ = 11476498314240. Its totient is φ = 888045721344.

The previous prime is 3331029029011. The next prime is 3331029029051. The reversal of 3331029029040 is 409209201333.

3331029029040 is a `hidden beast` number, since 3 + 33 + 10 + 290 + 290 + 40 = 666.

It is a super-2 number, since 2×3331029029040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3331029028986 and 3331029029004.

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 31 ways as a sum of consecutive naturals, for example, 8277129 + ... + 8670231.

It is an arithmetic number, because the mean of its divisors is an integer number (71728114464).

Almost surely, 2^{3331029029040} is an apocalyptic number.

3331029029040 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 3331029029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738249157120).

3331029029040 is an abundant number, since it is smaller than the sum of its proper divisors (8145469285200).

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

3331029029040 is a wasteful number, since it uses less digits than its factorization.

3331029029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397048 (or 397036 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 3331029029040 in words is "three trillion, three hundred thirty-one billion, twenty-nine million, twenty-nine thousand, forty".