1335252587040 has 480 divisors, whose sum is σ = 4759753876416. Its totient is φ = 352497899520.

The previous prime is 1335252586981. The next prime is 1335252587041. The reversal of 1335252587040 is 407852525331.

1335252587040 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 525 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1335252587041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1040726239 + ... + 1040727521.

Almost surely, 2^{1335252587040} is an apocalyptic number.

1335252587040 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 1335252587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379876938208).

1335252587040 is an abundant number, since it is smaller than the sum of its proper divisors (3424501289376).

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

1335252587040 is a wasteful number, since it uses less digits than its factorization.

1335252587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1335252587040 in words is "one trillion, three hundred thirty-five billion, two hundred fifty-two million, five hundred eighty-seven thousand, forty".