1535432010040 has 256 divisors, whose sum is σ = 3773759569920. Its totient is φ = 560550481920.

The previous prime is 1535432010023. The next prime is 1535432010041. The reversal of 1535432010040 is 400102345351.

It is a junction number, because it is equal to n+sod(n) for n = 1535432009990 and 1535432010008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535432010041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613435429 + ... + 613437931.

It is an arithmetic number, because the mean of its divisors is an integer number (14741248320).

Almost surely, 2^{1535432010040} is an apocalyptic number.

1535432010040 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 1535432010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886879784960).

1535432010040 is an abundant number, since it is smaller than the sum of its proper divisors (2238327559880).

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

1535432010040 is a wasteful number, since it uses less digits than its factorization.

1535432010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 1535432010040 its reverse (400102345351), we get a palindrome (1935534355391).

The spelling of 1535432010040 in words is "one trillion, five hundred thirty-five billion, four hundred thirty-two million, ten thousand, forty".