5430416281920 has 1120 divisors, whose sum is σ = 22783483008000. Its totient is φ = 1227112685568.

The previous prime is 5430416281907. The next prime is 5430416281933. The reversal of 5430416281920 is 291826140345.

5430416281920 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 4 + 1 + 628 + 19 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5430416281907) and next prime (5430416281933).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 791256409 + ... + 791263271.

Almost surely, 2^{5430416281920} 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 5430416281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11391741504000).

5430416281920 is an abundant number, since it is smaller than the sum of its proper divisors (17353066726080).

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

5430416281920 is an equidigital number, since it uses as much as digits as its factorization.

5430416281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5430416281920 in words is "five trillion, four hundred thirty billion, four hundred sixteen million, two hundred eighty-one thousand, nine hundred twenty".