1014135254440 has 256 divisors, whose sum is σ = 2879118950400. Its totient is φ = 312302822400.

The previous prime is 1014135254347. The next prime is 1014135254513. The reversal of 1014135254440 is 444525314101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1014135254396 and 1014135254405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123205125 + ... + 123213355.

It is an arithmetic number, because the mean of its divisors is an integer number (11246558400).

Almost surely, 2^{1014135254440} is an apocalyptic number.

1014135254440 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 1014135254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439559475200).

1014135254440 is an abundant number, since it is smaller than the sum of its proper divisors (1864983695960).

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

1014135254440 is a wasteful number, since it uses less digits than its factorization.

1014135254440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 1014135254440 in words is "one trillion, fourteen billion, one hundred thirty-five million, two hundred fifty-four thousand, four hundred forty".