10486134341280 has 288 divisors, whose sum is σ = 40803400454544. Its totient is φ = 2429366796288.

The previous prime is 10486134341273. The next prime is 10486134341383. The reversal of 10486134341280 is 8214343168401.

10486134341280 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 613 + 4 + 3 + 4 + 1 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3968876777616 + 6517257563664 = 1992204^2 + 2552892^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16156959 + ... + 16793438.

Almost surely, 2^{10486134341280} is an apocalyptic number.

10486134341280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10486134341280 is an abundant number, since it is smaller than the sum of its proper divisors (30317266113264).

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

10486134341280 is a wasteful number, since it uses less digits than its factorization.

10486134341280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32950448 (or 32950437 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10486134341280 in words is "ten trillion, four hundred eighty-six billion, one hundred thirty-four million, three hundred forty-one thousand, two hundred eighty".