1438226135040 has 96 divisors (see below), whose sum is σ = 4601200116240. Its totient is φ = 383526961152.

The previous prime is 1438226134907. The next prime is 1438226135119. The reversal of 1438226135040 is 405316228341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1438226135040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23377909 + ... + 23439348.

Almost surely, 2^{1438226135040} is an apocalyptic number.

1438226135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1438226135040 is an abundant number, since it is smaller than the sum of its proper divisors (3162973981200).

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

1438226135040 is an equidigital number, since it uses as much as digits as its factorization.

1438226135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46817287 (or 46817267 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1438226135040 in words is "one trillion, four hundred thirty-eight billion, two hundred twenty-six million, one hundred thirty-five thousand, forty".