1295889450240 has 576 divisors, whose sum is σ = 5165290690560. Its totient is φ = 268999557120.

The previous prime is 1295889450239. The next prime is 1295889450241. The reversal of 1295889450240 is 420549885921.

It is an interprime number because it is at equal distance from previous prime (1295889450239) and next prime (1295889450241).

It is a super-3 number, since 3×1295889450240³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295889450241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422525187 + ... + 422528253.

It is an arithmetic number, because the mean of its divisors is an integer number (8967518560).

Almost surely, 2^{1295889450240} is an apocalyptic number.

1295889450240 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 1295889450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582645345280).

1295889450240 is an abundant number, since it is smaller than the sum of its proper divisors (3869401240320).

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

1295889450240 is a wasteful number, since it uses less digits than its factorization.

1295889450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 1295889450240 in words is "one trillion, two hundred ninety-five billion, eight hundred eighty-nine million, four hundred fifty thousand, two hundred forty".