3540053341440 has 1080 divisors, whose sum is σ = 16074835251552. Its totient is φ = 735583887360.

The previous prime is 3540053341439. The next prime is 3540053341441. The reversal of 3540053341440 is 441433500453.

3540053341440 is a `hidden beast` number, since 3 + 5 + 40 + 0 + 533 + 41 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3540053341439) and next prime (3540053341441).

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 3540053341395 and 3540053341404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540053341441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55851847 + ... + 55915193.

Almost surely, 2^{3540053341440} is an apocalyptic number.

3540053341440 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 3540053341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037417625776).

3540053341440 is an abundant number, since it is smaller than the sum of its proper divisors (12534781910112).

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

3540053341440 is a wasteful number, since it uses less digits than its factorization.

3540053341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63405 (or 63375 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3540053341440 its reverse (441433500453), we get a palindrome (3981486841893).

The spelling of 3540053341440 in words is "three trillion, five hundred forty billion, fifty-three million, three hundred forty-one thousand, four hundred forty".