1535261210040 has 256 divisors, whose sum is σ = 4726665083520. Its totient is φ = 398816870400.

The previous prime is 1535261210033. The next prime is 1535261210071. The reversal of 1535261210040 is 400121625351.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404333422 + ... + 404337218.

Almost surely, 2^{1535261210040} is an apocalyptic number.

1535261210040 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 1535261210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363332541760).

1535261210040 is an abundant number, since it is smaller than the sum of its proper divisors (3191403873480).

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

1535261210040 is a wasteful number, since it uses less digits than its factorization.

1535261210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1535261210040 its reverse (400121625351), we get a palindrome (1935382835391).

The spelling of 1535261210040 in words is "one trillion, five hundred thirty-five billion, two hundred sixty-one million, two hundred ten thousand, forty".