38098720941120 has 336 divisors, whose sum is σ = 155311084376448. Its totient is φ = 8708278947840.

The previous prime is 38098720941049. The next prime is 38098720941121. The reversal of 38098720941120 is 2114902789083.

38098720941120 is a `hidden beast` number, since 380 + 9 + 8 + 7 + 209 + 41 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (38098720941121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34452301 + ... + 35540940.

It is an arithmetic number, because the mean of its divisors is an integer number (462235370168).

Almost surely, 2^{38098720941120} is an apocalyptic number.

38098720941120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38098720941120 is an abundant number, since it is smaller than the sum of its proper divisors (117212363435328).

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

38098720941120 is an equidigital number, since it uses as much as digits as its factorization.

38098720941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69993280 (or 69993258 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 38098720941120 in words is "thirty-eight trillion, ninety-eight billion, seven hundred twenty million, nine hundred forty-one thousand, one hundred twenty".