1235405342320 has 80 divisors (see below), whose sum is σ = 2903439971520. Its totient is φ = 488824942592.

The previous prime is 1235405342309. The next prime is 1235405342321. The reversal of 1235405342320 is 232435045321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1235405342321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4467117 + ... + 4735603.

It is an arithmetic number, because the mean of its divisors is an integer number (36292999644).

Almost surely, 2^{1235405342320} is an apocalyptic number.

1235405342320 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 1235405342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451719985760).

1235405342320 is an abundant number, since it is smaller than the sum of its proper divisors (1668034629200).

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

1235405342320 is a wasteful number, since it uses less digits than its factorization.

1235405342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269122 (or 269116 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 1235405342320 in words is "one trillion, two hundred thirty-five billion, four hundred five million, three hundred forty-two thousand, three hundred twenty".