3311472281040 has 2400 divisors, whose sum is σ = 15825385217664. Its totient is φ = 632073093120.

The previous prime is 3311472281011. The next prime is 3311472281053. The reversal of 3311472281040 is 401822741133.

3311472281040 is a `hidden beast` number, since 331 + 1 + 4 + 7 + 2 + 281 + 0 + 40 = 666.

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 = 3311472280986 and 3311472281004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2553177672 + ... + 2553178968.

Almost surely, 2^{3311472281040} is an apocalyptic number.

3311472281040 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 3311472281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912692608832).

3311472281040 is an abundant number, since it is smaller than the sum of its proper divisors (12513912936624).

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

3311472281040 is a wasteful number, since it uses less digits than its factorization.

3311472281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3311472281040 in words is "three trillion, three hundred eleven billion, four hundred seventy-two million, two hundred eighty-one thousand, forty".