10457689181040 has 800 divisors, whose sum is σ = 40178903117760. Its totient is φ = 2509000704000.

The previous prime is 10457689180997. The next prime is 10457689181123. The reversal of 10457689181040 is 4018198675401.

10457689181040 is a `hidden beast` number, since 1 + 0 + 4 + 576 + 8 + 9 + 18 + 10 + 40 = 666.

10457689181040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 322642435 + ... + 322674845.

Almost surely, 2^{10457689181040} is an apocalyptic number.

10457689181040 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 10457689181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089451558880).

10457689181040 is an abundant number, since it is smaller than the sum of its proper divisors (29721213936720).

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

10457689181040 is a wasteful number, since it uses less digits than its factorization.

10457689181040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32583 (or 32568 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10457689181040 in words is "ten trillion, four hundred fifty-seven billion, six hundred eighty-nine million, one hundred eighty-one thousand, forty".