1333540340032 has 84 divisors (see below), whose sum is σ = 2784876866100. Its totient is φ = 633497362432.

The previous prime is 1333540339997. The next prime is 1333540340063. The reversal of 1333540340032 is 2300430453331.

It can be written as a sum of positive squares in 2 ways, for example, as 777119823936 + 556420516096 = 881544^2 + 745936^2 .

It is a super-2 number, since 2×1333540340032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1333540339976 and 1333540340003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4912368 + ... + 5176720.

It is an arithmetic number, because the mean of its divisors is an integer number (33153296025).

Almost surely, 2^{1333540340032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333540340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392438433050).

1333540340032 is an abundant number, since it is smaller than the sum of its proper divisors (1451336526068).

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

1333540340032 is a wasteful number, since it uses less digits than its factorization.

1333540340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264560 (or 264527 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 1333540340032 its reverse (2300430453331), we get a palindrome (3633970793363).

The spelling of 1333540340032 in words is "one trillion, three hundred thirty-three billion, five hundred forty million, three hundred forty thousand, thirty-two".