20135424351440 has 40 divisors (see below), whose sum is σ = 46815352271520. Its totient is φ = 8054085326976.

The previous prime is 20135424351407. The next prime is 20135424351457. The reversal of 20135424351440 is 4415342453102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 20135424351394 and 20135424351403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6661727 + ... + 9200513.

It is an arithmetic number, because the mean of its divisors is an integer number (1170383806788).

Almost surely, 2^{20135424351440} is an apocalyptic number.

20135424351440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20135424351440 is an abundant number, since it is smaller than the sum of its proper divisors (26679927920080).

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

20135424351440 is a wasteful number, since it uses less digits than its factorization.

20135424351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637939 (or 2637933 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 20135424351440 in words is "twenty trillion, one hundred thirty-five billion, four hundred twenty-four million, three hundred fifty-one thousand, four hundred forty".