38820601457190 has 128 divisors (see below), whose sum is σ = 120827647365120. Its totient is φ = 8684487114624.

The previous prime is 38820601457179. The next prime is 38820601457219. The reversal of 38820601457190 is 9175410602883.

38820601457190 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 0 + 60 + 1 + 4 + 571 + 9 + 0 = 666.

It is a super-2 number, since 2×38820601457190² (a number of 28 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218421817 + ... + 218599476.

It is an arithmetic number, because the mean of its divisors is an integer number (943965995040).

It is a 1-persistent number, because it is pandigital, but 2⋅38820601457190 = 77641202914380 is not.

Almost surely, 2^{38820601457190} is an apocalyptic number.

38820601457190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38820601457190 is an abundant number, since it is smaller than the sum of its proper divisors (82007045907930).

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

38820601457190 is a wasteful number, since it uses less digits than its factorization.

38820601457190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437021363 (or 437021357 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 38820601457190 in words is "thirty-eight trillion, eight hundred twenty billion, six hundred one million, four hundred fifty-seven thousand, one hundred ninety".