5480906342400 has 1350 divisors, whose sum is σ = 21250477403232. Its totient is φ = 1395051724800.

The previous prime is 5480906342347. The next prime is 5480906342423. The reversal of 5480906342400 is 42436090845.

5480906342400 is a `hidden beast` number, since 5 + 4 + 8 + 0 + 9 + 0 + 634 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 75080908764 + ... + 75080908836.

Almost surely, 2^{5480906342400} is an apocalyptic number.

5480906342400 is a gapful number since it is divisible by the number (50) 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 5480906342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10625238701616).

5480906342400 is an abundant number, since it is smaller than the sum of its proper divisors (15769571060832).

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

5480906342400 is an frugal number, since it uses more digits than its factorization.

5480906342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 5480906342400 in words is "five trillion, four hundred eighty billion, nine hundred six million, three hundred forty-two thousand, four hundred".