1440901128128 has 168 divisors, whose sum is σ = 3786246716544. Its totient is φ = 536981491200.

The previous prime is 1440901128119. The next prime is 1440901128131. The reversal of 1440901128128 is 8218211090441.

It is a super-2 number, since 2×1440901128128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 114638 + ... + 1701453.

Almost surely, 2^{1440901128128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440901128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893123358272).

1440901128128 is an abundant number, since it is smaller than the sum of its proper divisors (2345345588416).

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

1440901128128 is a wasteful number, since it uses less digits than its factorization.

1440901128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816151 (or 1816134 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The spelling of 1440901128128 in words is "one trillion, four hundred forty billion, nine hundred one million, one hundred twenty-eight thousand, one hundred twenty-eight".