38721078141460 has 144 divisors (see below), whose sum is σ = 96344559891216. Its totient is φ = 12985023744000.

The previous prime is 38721078141433. The next prime is 38721078141511. The reversal of 38721078141460 is 6414187012783.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6079646901636 + 32641431239824 = 2465694^2 + 5713268^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 38721078141398 and 38721078141407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32799040 + ... + 33959080.

It is an arithmetic number, because the mean of its divisors is an integer number (669059443689).

Almost surely, 2^{38721078141460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38721078141460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48172279945608).

38721078141460 is an abundant number, since it is smaller than the sum of its proper divisors (57623481749756).

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

38721078141460 is a wasteful number, since it uses less digits than its factorization.

38721078141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161146 (or 1161133 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 38721078141460 in words is "thirty-eight trillion, seven hundred twenty-one billion, seventy-eight million, one hundred forty-one thousand, four hundred sixty".