1335140040 has 128 divisors (see below), whose sum is σ = 4332787200. Its totient is φ = 327183360.

The previous prime is 1335140029. The next prime is 1335140069. The reversal of 1335140040 is 400415331.

1335140040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1335140040² = 3565197852822403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1335139989 and 1335140016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371050 + ... + 374630.

It is an arithmetic number, because the mean of its divisors is an integer number (33849900).

Almost surely, 2^1335140040 is an apocalyptic number.

1335140040 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 1335140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166393600).

1335140040 is an abundant number, since it is smaller than the sum of its proper divisors (2997647160).

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

1335140040 is a wasteful number, since it uses less digits than its factorization.

1335140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1335140040 is about 36539.5681419472. The cubic root of 1335140040 is about 1101.1393264208.

Adding to 1335140040 its reverse (400415331), we get a palindrome (1735555371).

The spelling of 1335140040 in words is "one billion, three hundred thirty-five million, one hundred forty thousand, forty".