1465034370640 has 80 divisors (see below), whose sum is σ = 3446700803280. Its totient is φ = 579065610240.

The previous prime is 1465034370619. The next prime is 1465034370671. The reversal of 1465034370640 is 460734305641.

It can be written as a sum of positive squares in 8 ways, for example, as 31334664256 + 1433699706384 = 177016^2 + 1197372^2 .

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

It is a super-3 number, since 3×1465034370640³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4826896 + ... + 5121424.

It is an arithmetic number, because the mean of its divisors is an integer number (43083760041).

Almost surely, 2^{1465034370640} is an apocalyptic number.

1465034370640 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 1465034370640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723350401640).

1465034370640 is an abundant number, since it is smaller than the sum of its proper divisors (1981666432640).

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

1465034370640 is a wasteful number, since it uses less digits than its factorization.

1465034370640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295280 (or 295274 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 1465034370640 in words is "one trillion, four hundred sixty-five billion, thirty-four million, three hundred seventy thousand, six hundred forty".