1333414006740 has 36 divisors (see below), whose sum is σ = 4044689154324. Its totient is φ = 355577068416.

The previous prime is 1333414006723. The next prime is 1333414006781. The reversal of 1333414006740 is 476004143331.

It can be written as a sum of positive squares in 2 ways, for example, as 445812606864 + 887601399876 = 667692^2 + 942126^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1333414006695 and 1333414006704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3703927617 + ... + 3703927976.

It is an arithmetic number, because the mean of its divisors is an integer number (112352476509).

Almost surely, 2^{1333414006740} is an apocalyptic number.

1333414006740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333414006740 is an abundant number, since it is smaller than the sum of its proper divisors (2711275147584).

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

1333414006740 is a wasteful number, since it uses less digits than its factorization.

1333414006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407855608 (or 7407855603 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 1333414006740 in words is "one trillion, three hundred thirty-three billion, four hundred fourteen million, six thousand, seven hundred forty".