5414436720 has 480 divisors, whose sum is σ = 22878535680. Its totient is φ = 1114767360.

The previous prime is 5414436683. The next prime is 5414436721. The reversal of 5414436720 is 276344145.

5414436720 is a `hidden beast` number, since 541 + 4 + 43 + 6 + 72 + 0 = 666.

It is a super-2 number, since 2×5414436720² = 58632249989768716800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414436721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7040496 + ... + 7041264.

It is an arithmetic number, because the mean of its divisors is an integer number (47663616).

Almost surely, 2^5414436720 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 5414436720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439267840).

5414436720 is an abundant number, since it is smaller than the sum of its proper divisors (17464098960).

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

5414436720 is a wasteful number, since it uses less digits than its factorization.

5414436720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5414436720 is about 73582.8561554932. The cubic root of 5414436720 is about 1755.9727045050.

The spelling of 5414436720 in words is "five billion, four hundred fourteen million, four hundred thirty-six thousand, seven hundred twenty".