38798970114240 has 672 divisors, whose sum is σ = 158422571973120. Its totient is φ = 8853932261376.

The previous prime is 38798970114161. The next prime is 38798970114269. The reversal of 38798970114240 is 4241107989783.

38798970114240 is a `hidden beast` number, since 38 + 7 + 98 + 97 + 0 + 1 + 1 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 336876504 + ... + 336991656.

It is an arithmetic number, because the mean of its divisors is an integer number (235747874960).

Almost surely, 2^{38798970114240} is an apocalyptic number.

38798970114240 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 38798970114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79211285986560).

38798970114240 is an abundant number, since it is smaller than the sum of its proper divisors (119623601858880).

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

38798970114240 is a wasteful number, since it uses less digits than its factorization.

38798970114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115811 (or 115789 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 38798970114240 in words is "thirty-eight trillion, seven hundred ninety-eight billion, nine hundred seventy million, one hundred fourteen thousand, two hundred forty".