5413840733952 has 576 divisors, whose sum is σ = 18551644876800. Its totient is φ = 1525360066560.

The previous prime is 5413840733941. The next prime is 5413840733963. The reversal of 5413840733952 is 2593370483145.

5413840733952 is a `hidden beast` number, since 5 + 413 + 84 + 0 + 73 + 39 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5413840733941) and next prime (5413840733963).

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 1855960398 + ... + 1855963314.

It is an arithmetic number, because the mean of its divisors is an integer number (32207716800).

Almost surely, 2^{5413840733952} 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 5413840733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275822438400).

5413840733952 is an abundant number, since it is smaller than the sum of its proper divisors (13137804142848).

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

5413840733952 is a wasteful number, since it uses less digits than its factorization.

5413840733952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5413840733952 in words is "five trillion, four hundred thirteen billion, eight hundred forty million, seven hundred thirty-three thousand, nine hundred fifty-two".