1064950031440 has 80 divisors (see below), whose sum is σ = 2585325600000. Its totient is φ = 407196686336.

The previous prime is 1064950031437. The next prime is 1064950031441. The reversal of 1064950031440 is 441300594601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1064950031440³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1064950031440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064950031441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682936 + ... + 3054184.

It is an arithmetic number, because the mean of its divisors is an integer number (32316570000).

Almost surely, 2^{1064950031440} is an apocalyptic number.

1064950031440 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 1064950031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292662800000).

1064950031440 is an abundant number, since it is smaller than the sum of its proper divisors (1520375568560).

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

1064950031440 is a wasteful number, since it uses less digits than its factorization.

1064950031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372844 (or 372838 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 1064950031440 in words is "one trillion, sixty-four billion, nine hundred fifty million, thirty-one thousand, four hundred forty".