5440515146352 has 320 divisors, whose sum is σ = 18938241208320. Its totient is φ = 1472730854400.

The previous prime is 5440515146309. The next prime is 5440515146357. The reversal of 5440515146352 is 2536415150445.

5440515146352 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 5 + 1 + 5 + 1 + 4 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5440515146298 and 5440515146307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440515146357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494598 + ... + 3335514.

It is an arithmetic number, because the mean of its divisors is an integer number (59182003776).

Almost surely, 2^{5440515146352} is an apocalyptic number.

5440515146352 is a gapful number since it is divisible by the number (52) 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 5440515146352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469120604160).

5440515146352 is an abundant number, since it is smaller than the sum of its proper divisors (13497726061968).

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

5440515146352 is a wasteful number, since it uses less digits than its factorization.

5440515146352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840989 (or 2840977 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 5440515146352 in words is "five trillion, four hundred forty billion, five hundred fifteen million, one hundred forty-six thousand, three hundred fifty-two".