5461624825440 has 384 divisors, whose sum is σ = 20087037186048. Its totient is φ = 1221393530880.

The previous prime is 5461624825403. The next prime is 5461624825493. The reversal of 5461624825440 is 445284261645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858607860 + ... + 858614220.

It is an arithmetic number, because the mean of its divisors is an integer number (52309992672).

Almost surely, 2^{5461624825440} 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 5461624825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10043518593024).

5461624825440 is an abundant number, since it is smaller than the sum of its proper divisors (14625412360608).

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

5461624825440 is a wasteful number, since it uses less digits than its factorization.

5461624825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11870 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 51.

The spelling of 5461624825440 in words is "five trillion, four hundred sixty-one billion, six hundred twenty-four million, eight hundred twenty-five thousand, four hundred forty".