263130121440 has 576 divisors, whose sum is σ = 976396861440. Its totient is φ = 64308142080.

The previous prime is 263130121409. The next prime is 263130121487. The reversal of 263130121440 is 44121031362.

It is a happy number.

263130121440 is a `hidden beast` number, since 2 + 631 + 3 + 0 + 1 + 21 + 4 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 142462597 + ... + 142464443.

It is an arithmetic number, because the mean of its divisors is an integer number (1695133440).

Almost surely, 2^263130121440 is an apocalyptic number.

263130121440 is a gapful number since it is divisible by the number (20) 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 263130121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488198430720).

263130121440 is an abundant number, since it is smaller than the sum of its proper divisors (713266740000).

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

263130121440 is a wasteful number, since it uses less digits than its factorization.

263130121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 263130121440 in words is "two hundred sixty-three billion, one hundred thirty million, one hundred twenty-one thousand, four hundred forty".