1335021225240 has 128 divisors (see below), whose sum is σ = 4091846492160. Its totient is φ = 348297444864.

The previous prime is 1335021225211. The next prime is 1335021225271. The reversal of 1335021225240 is 425221205331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1335021225198 and 1335021225207.

It is a congruent number.

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, 15110634 + ... + 15198726.

It is an arithmetic number, because the mean of its divisors is an integer number (31967550720).

Almost surely, 2^{1335021225240} is an apocalyptic number.

1335021225240 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 1335021225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045923246080).

1335021225240 is an abundant number, since it is smaller than the sum of its proper divisors (2756825266920).

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

1335021225240 is a wasteful number, since it uses less digits than its factorization.

1335021225240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90841 (or 90837 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 1335021 and 225240, that added together give a triangular number (1560261 = T₁₇₆₆).

The spelling of 1335021225240 in words is "one trillion, three hundred thirty-five billion, twenty-one million, two hundred twenty-five thousand, two hundred forty".