1101387438144 has 504 divisors, whose sum is σ = 3731009787648. Its totient is φ = 309696307200.

The previous prime is 1101387438143. The next prime is 1101387438163. The reversal of 1101387438144 is 4418347831011.

1101387438144 is a `hidden beast` number, since 110 + 1 + 387 + 43 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 1101387438144.

It is not an unprimeable number, because it can be changed into a prime (1101387438143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481584969 + ... + 481587255.

Almost surely, 2^{1101387438144} is an apocalyptic number.

1101387438144 is a gapful number since it is divisible by the number (14) 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 1101387438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865504893824).

1101387438144 is an abundant number, since it is smaller than the sum of its proper divisors (2629622349504).

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

1101387438144 is a wasteful number, since it uses less digits than its factorization.

1101387438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1101387438144 in words is "one trillion, one hundred one billion, three hundred eighty-seven million, four hundred thirty-eight thousand, one hundred forty-four".