52409495305440 has 1920 divisors, whose sum is σ = 240317316771840. Its totient is φ = 10445652836352.

The previous prime is 52409495305439. The next prime is 52409495305457. The reversal of 52409495305440 is 4450359490425.

52409495305440 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 9 + 4 + 95 + 3 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8223674094 + ... + 8223680466.

It is an arithmetic number, because the mean of its divisors is an integer number (125165269152).

Almost surely, 2^{52409495305440} 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 52409495305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120158658385920).

52409495305440 is an abundant number, since it is smaller than the sum of its proper divisors (187907821466400).

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

52409495305440 is a wasteful number, since it uses less digits than its factorization.

52409495305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 52409495305440 in words is "fifty-two trillion, four hundred nine billion, four hundred ninety-five million, three hundred five thousand, four hundred forty".