1449267240960 has 2688 divisors, whose sum is σ = 6814891819008. Its totient is φ = 286654464000.

The previous prime is 1449267240959. The next prime is 1449267240961. The reversal of 1449267240960 is 690427629441.

1449267240960 is a `hidden beast` number, since 1 + 4 + 492 + 67 + 2 + 4 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1449267240959) and next prime (1449267240961).

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a junction number, because it is equal to n+sod(n) for n = 1449267240897 and 1449267240906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449267240961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23758479330 + ... + 23758479390.

It is an arithmetic number, because the mean of its divisors is an integer number (2535302016).

Almost surely, 2^{1449267240960} is an apocalyptic number.

1449267240960 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 1449267240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407445909504).

1449267240960 is an abundant number, since it is smaller than the sum of its proper divisors (5365624578048).

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

1449267240960 is an equidigital number, since it uses as much as digits as its factorization.

1449267240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1449267240960 in words is "one trillion, four hundred forty-nine billion, two hundred sixty-seven million, two hundred forty thousand, nine hundred sixty".