2235314405440 has 112 divisors (see below), whose sum is σ = 5415683961600. Its totient is φ = 878620815360.

The previous prime is 2235314405437. The next prime is 2235314405459. The reversal of 2235314405440 is 445044135322.

It is a self number, because there is not a number n which added to its sum of digits gives 2235314405440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6154011 + ... + 6507109.

Almost surely, 2^{2235314405440} is an apocalyptic number.

2235314405440 is a gapful number since it is divisible by the number (20) 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 2235314405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707841980800).

2235314405440 is an abundant number, since it is smaller than the sum of its proper divisors (3180369556160).

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

2235314405440 is a wasteful number, since it uses less digits than its factorization.

2235314405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353460 (or 353450 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

The spelling of 2235314405440 in words is "two trillion, two hundred thirty-five billion, three hundred fourteen million, four hundred five thousand, four hundred forty".