5420760080400 has 1440 divisors, whose sum is σ = 22949112496128. Its totient is φ = 1158636441600.

The previous prime is 5420760080327. The next prime is 5420760080443. The reversal of 5420760080400 is 40800670245.

5420760080400 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 7 + 600 + 8 + 0 + 40 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 4827034239 + ... + 4827035361.

Almost surely, 2^{5420760080400} is an apocalyptic number.

5420760080400 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 5420760080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474556248064).

5420760080400 is an abundant number, since it is smaller than the sum of its proper divisors (17528352415728).

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

5420760080400 is a wasteful number, since it uses less digits than its factorization.

5420760080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 5420760080400 in words is "five trillion, four hundred twenty billion, seven hundred sixty million, eighty thousand, four hundred".