5414321952 has 288 divisors, whose sum is σ = 17153136000. Its totient is φ = 1619025408.

The previous prime is 5414321929. The next prime is 5414321963. The reversal of 5414321952 is 2591234145.

5414321952 is a `hidden beast` number, since 541 + 4 + 3 + 21 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27207549 + ... + 27207747.

It is an arithmetic number, because the mean of its divisors is an integer number (59559500).

Almost surely, 2^5414321952 is an apocalyptic number.

5414321952 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 5414321952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576568000).

5414321952 is an abundant number, since it is smaller than the sum of its proper divisors (11738814048).

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

5414321952 is a wasteful number, since it uses less digits than its factorization.

5414321952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 260 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5414321952 is about 73582.0762957937. The cubic root of 5414321952 is about 1755.9602974957.

The spelling of 5414321952 in words is "five billion, four hundred fourteen million, three hundred twenty-one thousand, nine hundred fifty-two".