5456520452240 has 640 divisors, whose sum is σ = 16046692945920. Its totient is φ = 1695834316800.

The previous prime is 5456520452209. The next prime is 5456520452291. The reversal of 5456520452240 is 422540256545.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5456520452191 and 5456520452200.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3582744119 + ... + 3582745641.

It is an arithmetic number, because the mean of its divisors is an integer number (25072957728).

Almost surely, 2^{5456520452240} 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 5456520452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023346472960).

5456520452240 is an abundant number, since it is smaller than the sum of its proper divisors (10590172493680).

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

5456520452240 is a wasteful number, since it uses less digits than its factorization.

5456520452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 44.

The spelling of 5456520452240 in words is "five trillion, four hundred fifty-six billion, five hundred twenty million, four hundred fifty-two thousand, two hundred forty".