1038377926656 has 1440 divisors, whose sum is σ = 3915934364160. Its totient is φ = 268308578304.

The previous prime is 1038377926633. The next prime is 1038377926679. The reversal of 1038377926656 is 6566297738301.

It is an interprime number because it is at equal distance from previous prime (1038377926633) and next prime (1038377926679).

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

It is a junction number, because it is equal to n+sod(n) for n = 1038377926593 and 1038377926602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19592036326 + ... + 19592036378.

It is an arithmetic number, because the mean of its divisors is an integer number (2719398864).

Almost surely, 2^{1038377926656} is an apocalyptic number.

1038377926656 is a gapful number since it is divisible by the number (16) 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 1038377926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957967182080).

1038377926656 is an abundant number, since it is smaller than the sum of its proper divisors (2877556437504).

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

1038377926656 is an frugal number, since it uses more digits than its factorization.

1038377926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 1038377926656 in words is "one trillion, thirty-eight billion, three hundred seventy-seven million, nine hundred twenty-six thousand, six hundred fifty-six".