38402512314144 has 96 divisors (see below), whose sum is σ = 110388971556864. Its totient is φ = 11592877236480.

The previous prime is 38402512314071. The next prime is 38402512314151. The reversal of 38402512314144 is 44141321520483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 38402512314096 and 38402512314105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68859184 + ... + 69414639.

It is an arithmetic number, because the mean of its divisors is an integer number (1149885120384).

Almost surely, 2^{38402512314144} is an apocalyptic number.

It is an amenable number.

38402512314144 is an abundant number, since it is smaller than the sum of its proper divisors (71986459242720).

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

38402512314144 is a wasteful number, since it uses less digits than its factorization.

38402512314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138274110 (or 138274102 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 38402512314144 in words is "thirty-eight trillion, four hundred two billion, five hundred twelve million, three hundred fourteen thousand, one hundred forty-four".