5491071014400 has 1080 divisors, whose sum is σ = 21009343675320. Its totient is φ = 1365713879040.

The previous prime is 5491071014329. The next prime is 5491071014441. The reversal of 5491071014400 is 44101701945.

5491071014400 is a `hidden beast` number, since 5 + 4 + 9 + 107 + 101 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36852825526 + ... + 36852825674.

Almost surely, 2^{5491071014400} is an apocalyptic number.

5491071014400 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 5491071014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10504671837660).

5491071014400 is an abundant number, since it is smaller than the sum of its proper divisors (15518272660920).

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

5491071014400 is a wasteful number, since it uses less digits than its factorization.

5491071014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 5491071014400 in words is "five trillion, four hundred ninety-one billion, seventy-one million, fourteen thousand, four hundred".