1002235405440 has 128 divisors (see below), whose sum is σ = 3195787867200. Its totient is φ = 267165519872.

The previous prime is 1002235405421. The next prime is 1002235405441. The reversal of 1002235405440 is 445045322001.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1002235405398 and 1002235405407.

It is not an unprimeable number, because it can be changed into a prime (1002235405441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5261299 + ... + 5448461.

Almost surely, 2^{1002235405440} is an apocalyptic number.

1002235405440 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 1002235405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597893933600).

1002235405440 is an abundant number, since it is smaller than the sum of its proper divisors (2193552461760).

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

1002235405440 is a wasteful number, since it uses less digits than its factorization.

1002235405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189974 (or 189962 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 1002235405440 in words is "one trillion, two billion, two hundred thirty-five million, four hundred five thousand, four hundred forty".