2191307126400 has 2592 divisors, whose sum is σ = 10070394516000. Its totient is φ = 469038366720.

The previous prime is 2191307126317. The next prime is 2191307126419. The reversal of 2191307126400 is 46217031912.

2191307126400 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 3 + 0 + 7 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2191307126400² (a number of 25 digits) contains 22 as substring.

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 323 ways as a sum of consecutive naturals, for example, 11011593501 + ... + 11011593699.

Almost surely, 2^{2191307126400} is an apocalyptic number.

2191307126400 is a gapful number since it is divisible by the number (20) 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 2191307126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035197258000).

2191307126400 is an abundant number, since it is smaller than the sum of its proper divisors (7879087389600).

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

2191307126400 is a wasteful number, since it uses less digits than its factorization.

2191307126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2191307126400 in words is "two trillion, one hundred ninety-one billion, three hundred seven million, one hundred twenty-six thousand, four hundred".