1440617840640 has 1920 divisors, whose sum is σ = 6128697738240. Its totient is φ = 321052999680.

The previous prime is 1440617840621. The next prime is 1440617840707. The reversal of 1440617840640 is 460487160441.

1440617840640 is a `hidden beast` number, since 1 + 440 + 61 + 78 + 40 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33502740459 + ... + 33502740501.

It is an arithmetic number, because the mean of its divisors is an integer number (3192030072).

Almost surely, 2^{1440617840640} is an apocalyptic number.

1440617840640 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 1440617840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064348869120).

1440617840640 is an abundant number, since it is smaller than the sum of its proper divisors (4688079897600).

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

1440617840640 is an frugal number, since it uses more digits than its factorization.

1440617840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1440617840640 in words is "one trillion, four hundred forty billion, six hundred seventeen million, eight hundred forty thousand, six hundred forty".