1038157308144 has 240 divisors, whose sum is σ = 3381086929920. Its totient is φ = 304444483200.

The previous prime is 1038157308127. The next prime is 1038157308179. The reversal of 1038157308144 is 4418037518301.

1038157308144 is a `hidden beast` number, since 1 + 0 + 38 + 1 + 573 + 0 + 8 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1038157308144.

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, 1300099 + ... + 1940765.

It is an arithmetic number, because the mean of its divisors is an integer number (14087862208).

Almost surely, 2^{1038157308144} 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 1038157308144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690543464960).

1038157308144 is an abundant number, since it is smaller than the sum of its proper divisors (2342929621776).

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

1038157308144 is a wasteful number, since it uses less digits than its factorization.

1038157308144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640737 (or 640714 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1038157308144 in words is "one trillion, thirty-eight billion, one hundred fifty-seven million, three hundred eight thousand, one hundred forty-four".