5401160144640 has 1728 divisors, whose sum is σ = 22136559244800. Its totient is φ = 1249956790272.

The previous prime is 5401160144609. The next prime is 5401160144647. The reversal of 5401160144640 is 464410611045.

5401160144640 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 1 + 6 + 0 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 5401160144595 and 5401160144604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401160144647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17593355367 + ... + 17593355673.

Almost surely, 2^{5401160144640} 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 5401160144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068279622400).

5401160144640 is an abundant number, since it is smaller than the sum of its proper divisors (16735399100160).

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

5401160144640 is a wasteful number, since it uses less digits than its factorization.

5401160144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 5401160144640 its reverse (464410611045), we get a palindrome (5865570755685).

The spelling of 5401160144640 in words is "five trillion, four hundred one billion, one hundred sixty million, one hundred forty-four thousand, six hundred forty".