1038880144260 has 384 divisors, whose sum is σ = 3736895984640. Its totient is φ = 234694361088.

The previous prime is 1038880144243. The next prime is 1038880144273. The reversal of 1038880144260 is 624410888301.

1038880144260 is a `hidden beast` number, since 1 + 0 + 388 + 8 + 0 + 1 + 4 + 4 + 260 = 666.

1038880144260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 371425182 + ... + 371427978.

It is an arithmetic number, because the mean of its divisors is an integer number (9731499960).

Almost surely, 2^{1038880144260} is an apocalyptic number.

1038880144260 is a gapful number since it is divisible by the number (10) 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 1038880144260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868447992320).

1038880144260 is an abundant number, since it is smaller than the sum of its proper divisors (2698015840380).

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

1038880144260 is a wasteful number, since it uses less digits than its factorization.

1038880144260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1038880144260 in words is "one trillion, thirty-eight billion, eight hundred eighty million, one hundred forty-four thousand, two hundred sixty".