10057043262240 has 144 divisors (see below), whose sum is σ = 36959634057528. Its totient is φ = 2475579875328.

The previous prime is 10057043262157. The next prime is 10057043262251. The reversal of 10057043262240 is 4226234075001.

10057043262240 is a `hidden beast` number, since 1 + 0 + 0 + 570 + 4 + 3 + 2 + 62 + 24 + 0 = 666.

10057043262240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9286573622544 + 770469639696 = 3047388^2 + 877764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10057043262240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10057043262195 and 10057043262204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268598889 + ... + 268636328.

Almost surely, 2^{10057043262240} is an apocalyptic number.

10057043262240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10057043262240 is an abundant number, since it is smaller than the sum of its proper divisors (26902590795288).

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

10057043262240 is a wasteful number, since it uses less digits than its factorization.

10057043262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537235251 (or 537235240 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10057043262240 in words is "ten trillion, fifty-seven billion, forty-three million, two hundred sixty-two thousand, two hundred forty".