5120676541440 has 352 divisors, whose sum is σ = 18785006545920. Its totient is φ = 1321463808000.

The previous prime is 5120676541433. The next prime is 5120676541441. The reversal of 5120676541440 is 441456760215.

5120676541440 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 67 + 6 + 541 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120676541441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3687990 + ... + 4882890.

Almost surely, 2^{5120676541440} 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 5120676541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392503272960).

5120676541440 is an abundant number, since it is smaller than the sum of its proper divisors (13664330004480).

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

5120676541440 is a wasteful number, since it uses less digits than its factorization.

5120676541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194966 (or 1194942 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

It can be divided in two parts, 512067 and 6541440, that added together give a palindrome (7053507).

The spelling of 5120676541440 in words is "five trillion, one hundred twenty billion, six hundred seventy-six million, five hundred forty-one thousand, four hundred forty".