3144038768640 has 2240 divisors, whose sum is σ = 14542341378048. Its totient is φ = 630639820800.

The previous prime is 3144038768639. The next prime is 3144038768683. The reversal of 3144038768640 is 468678304413.

3144038768640 is a `hidden beast` number, since 3 + 1 + 440 + 3 + 87 + 6 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×3144038768640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 7919492922 + ... + 7919493318.

Almost surely, 2^{3144038768640} is an apocalyptic number.

3144038768640 is a gapful number since it is divisible by the number (30) 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 3144038768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271170689024).

3144038768640 is an abundant number, since it is smaller than the sum of its proper divisors (11398302609408).

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

3144038768640 is a wasteful number, since it uses less digits than its factorization.

3144038768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3144038768640 in words is "three trillion, one hundred forty-four billion, thirty-eight million, seven hundred sixty-eight thousand, six hundred forty".