540053041440 has 192 divisors, whose sum is σ = 1858343316480. Its totient is φ = 130743843840.

The previous prime is 540053041427. The next prime is 540053041481. The reversal of 540053041440 is 44140350045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 540053041398 and 540053041407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3832717 + ... + 3971123.

It is an arithmetic number, because the mean of its divisors is an integer number (9678871440).

Almost surely, 2^540053041440 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 540053041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929171658240).

540053041440 is an abundant number, since it is smaller than the sum of its proper divisors (1318290275040).

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

540053041440 is a wasteful number, since it uses less digits than its factorization.

540053041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139175 (or 139167 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 540053041440 its reverse (44140350045), we get a palindrome (584193391485).

The spelling of 540053041440 in words is "five hundred forty billion, fifty-three million, forty-one thousand, four hundred forty".