1440729853920 has 1296 divisors, whose sum is σ = 6086988900720. Its totient is φ = 320864882688.

The previous prime is 1440729853879. The next prime is 1440729853921. The reversal of 1440729853920 is 293589270441.

1440729853920 is a `hidden beast` number, since 1 + 440 + 72 + 9 + 85 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440729853921) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3522566676 + ... + 3522567084.

It is an arithmetic number, because the mean of its divisors is an integer number (4696750695).

Almost surely, 2^{1440729853920} is an apocalyptic number.

1440729853920 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 1440729853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043494450360).

1440729853920 is an abundant number, since it is smaller than the sum of its proper divisors (4646259046800).

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

1440729853920 is an equidigital number, since it uses as much as digits as its factorization.

1440729853920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1440729853920 in words is "one trillion, four hundred forty billion, seven hundred twenty-nine million, eight hundred fifty-three thousand, nine hundred twenty".