6400994181120 has 2432 divisors, whose sum is σ = 29715748300800. Its totient is φ = 1284211998720.

The previous prime is 6400994181119. The next prime is 6400994181157. The reversal of 6400994181120 is 211814990046.

It is a happy number.

6400994181120 is a `hidden beast` number, since 6 + 400 + 9 + 9 + 41 + 81 + 120 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220723937266 + ... + 220723937294.

Almost surely, 2^{6400994181120} is an apocalyptic number.

6400994181120 is a gapful number since it is divisible by the number (60) 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 6400994181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14857874150400).

6400994181120 is an abundant number, since it is smaller than the sum of its proper divisors (23314754119680).

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

6400994181120 is an frugal number, since it uses more digits than its factorization.

6400994181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 6400994181120 in words is "six trillion, four hundred billion, nine hundred ninety-four million, one hundred eighty-one thousand, one hundred twenty".