5821277414400 has 2640 divisors, whose sum is σ = 26960773542912. Its totient is φ = 1210318848000.

The previous prime is 5821277414341. The next prime is 5821277414413. The reversal of 5821277414400 is 44147721285.

5821277414400 is a `hidden beast` number, since 5 + 82 + 127 + 7 + 4 + 1 + 440 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7649510020 + ... + 7649510780.

Almost surely, 2^{5821277414400} is an apocalyptic number.

5821277414400 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 5821277414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480386771456).

5821277414400 is an abundant number, since it is smaller than the sum of its proper divisors (21139496128512).

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

5821277414400 is a wasteful number, since it uses less digits than its factorization.

5821277414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 5821277414400 in words is "five trillion, eight hundred twenty-one billion, two hundred seventy-seven million, four hundred fourteen thousand, four hundred".