100000435053440 has 128 divisors (see below), whose sum is σ = 240517566475200. Its totient is φ = 39756930859008.

The previous prime is 100000435053413. The next prime is 100000435053457. The reversal of 100000435053440 is 44350534000001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1331366606 + ... + 1331441714.

Almost surely, 2^{100000435053440} is an apocalyptic number.

100000435053440 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 100000435053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120258783237600).

100000435053440 is an abundant number, since it is smaller than the sum of its proper divisors (140517131421760).

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

100000435053440 is a wasteful number, since it uses less digits than its factorization.

100000435053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87752 (or 87740 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 100000435053440 its reverse (44350534000001), we get a palindrome (144350969053441).

The spelling of 100000435053440 in words is "one hundred trillion, four hundred thirty-five million, fifty-three thousand, four hundred forty".