7144161020640 has 768 divisors, whose sum is σ = 30458335703040. Its totient is φ = 1526700441600.

The previous prime is 7144161020569. The next prime is 7144161020669. The reversal of 7144161020640 is 460201614417.

It is a happy number.

7144161020640 is a `hidden beast` number, since 7 + 1 + 4 + 4 + 1 + 6 + 1 + 0 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7144161020595 and 7144161020604.

It is a congruent number.

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, 77580064 + ... + 77672096.

It is an arithmetic number, because the mean of its divisors is an integer number (39659291280).

Almost surely, 2^{7144161020640} is an apocalyptic number.

7144161020640 is a gapful number since it is divisible by the number (70) 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 7144161020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229167851520).

7144161020640 is an abundant number, since it is smaller than the sum of its proper divisors (23314174682400).

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

7144161020640 is a wasteful number, since it uses less digits than its factorization.

7144161020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92232 (or 92218 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 7144161020640 in words is "seven trillion, one hundred forty-four billion, one hundred sixty-one million, twenty thousand, six hundred forty".