1065025219440 has 960 divisors, whose sum is σ = 4520950640640. Its totient is φ = 204652707840.

The previous prime is 1065025219439. The next prime is 1065025219477. The reversal of 1065025219440 is 449125205601.

It is a super-2 number, since 2×1065025219440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80561151 + ... + 80574369.

It is an arithmetic number, because the mean of its divisors is an integer number (4709323584).

Almost surely, 2^{1065025219440} is an apocalyptic number.

1065025219440 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 1065025219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260475320320).

1065025219440 is an abundant number, since it is smaller than the sum of its proper divisors (3455925421200).

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

1065025219440 is a wasteful number, since it uses less digits than its factorization.

1065025219440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 1065025219440 in words is "one trillion, sixty-five billion, twenty-five million, two hundred nineteen thousand, four hundred forty".