1333140020040 has 192 divisors, whose sum is σ = 4164033614400. Its totient is φ = 341347754496.

The previous prime is 1333140019979. The next prime is 1333140020057. The reversal of 1333140020040 is 400200413331.

It is a junction number, because it is equal to n+sod(n) for n = 1333140019989 and 1333140020016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13040002 + ... + 13141838.

It is an arithmetic number, because the mean of its divisors is an integer number (21687675075).

Almost surely, 2^{1333140020040} is an apocalyptic number.

1333140020040 is a gapful number since it is divisible by the number (10) 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 1333140020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082016807200).

1333140020040 is an abundant number, since it is smaller than the sum of its proper divisors (2830893594360).

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

1333140020040 is a wasteful number, since it uses less digits than its factorization.

1333140020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101996 (or 101949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1333140020040 its reverse (400200413331), we get a palindrome (1733340433371).

The spelling of 1333140020040 in words is "one trillion, three hundred thirty-three billion, one hundred forty million, twenty thousand, forty".