2011335130440 has 256 divisors, whose sum is σ = 6890669568000. Its totient is φ = 521661254400.

The previous prime is 2011335130393. The next prime is 2011335130501. The reversal of 2011335130440 is 440315331102.

It is a happy number.

2011335130440 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 351 + 304 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5540515 + ... + 5892365.

It is an arithmetic number, because the mean of its divisors is an integer number (26916678000).

Almost surely, 2^{2011335130440} is an apocalyptic number.

2011335130440 is a gapful number since it is divisible by the number (20) 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 2011335130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445334784000).

2011335130440 is an abundant number, since it is smaller than the sum of its proper divisors (4879334437560).

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

2011335130440 is a wasteful number, since it uses less digits than its factorization.

2011335130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352017 (or 352007 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 2011335130440 in words is "two trillion, eleven billion, three hundred thirty-five million, one hundred thirty thousand, four hundred forty".