1038658121382 has 96 divisors (see below), whose sum is σ = 2432424384000. Its totient is φ = 294801861312.

The previous prime is 1038658121341. The next prime is 1038658121387. The reversal of 1038658121382 is 2831218568301.

It is a super-2 number, since 2×1038658121382² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038658121387) 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, 149465244 + ... + 149472192.

It is an arithmetic number, because the mean of its divisors is an integer number (25337754000).

Almost surely, 2^{1038658121382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038658121382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216212192000).

1038658121382 is an abundant number, since it is smaller than the sum of its proper divisors (1393766262618).

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

1038658121382 is a wasteful number, since it uses less digits than its factorization.

1038658121382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10243 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 1038658121382 in words is "one trillion, thirty-eight billion, six hundred fifty-eight million, one hundred twenty-one thousand, three hundred eighty-two".