38010180681040 has 40 divisors (see below), whose sum is σ = 88376798422440. Its totient is φ = 15203534063616.

The previous prime is 38010180681013. The next prime is 38010180681089. The reversal of 38010180681040 is 4018608101083.

It can be written as a sum of positive squares in 4 ways, for example, as 11635505424 + 37998545175616 = 107868^2 + 6164296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 38010180680984 and 38010180681002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6131605 + ... + 10659124.

It is an arithmetic number, because the mean of its divisors is an integer number (2209419960561).

Almost surely, 2^{38010180681040} is an apocalyptic number.

It is an amenable number.

38010180681040 is an abundant number, since it is smaller than the sum of its proper divisors (50366617741400).

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

38010180681040 is a wasteful number, since it uses less digits than its factorization.

38010180681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16819039 (or 16819033 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 38010180681040 in words is "thirty-eight trillion, ten billion, one hundred eighty million, six hundred eighty-one thousand, forty".