38637480194040 has 2304 divisors, whose sum is σ = 159886902067200. Its totient is φ = 7415815680000.

The previous prime is 38637480194023. The next prime is 38637480194063. The reversal of 38637480194040 is 4049108473683.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 146910570949 + ... + 146910571211.

It is an arithmetic number, because the mean of its divisors is an integer number (69395356800).

Almost surely, 2^{38637480194040} is an apocalyptic number.

38637480194040 is a gapful number since it is divisible by the number (30) 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 38637480194040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79943451033600).

38637480194040 is an abundant number, since it is smaller than the sum of its proper divisors (121249421873160).

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

38637480194040 is a wasteful number, since it uses less digits than its factorization.

38637480194040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 38637480194040 in words is "thirty-eight trillion, six hundred thirty-seven billion, four hundred eighty million, one hundred ninety-four thousand, forty".