5451994175040 has 1344 divisors, whose sum is σ = 22899928117248. Its totient is φ = 1164135628800.

The previous prime is 5451994175011. The next prime is 5451994175041. The reversal of 5451994175040 is 405714991545.

5451994175040 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 99 + 41 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (5451994175041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3167921380 + ... + 3167923100.

It is an arithmetic number, because the mean of its divisors is an integer number (17038636992).

Almost surely, 2^{5451994175040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5451994175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11449964058624).

5451994175040 is an abundant number, since it is smaller than the sum of its proper divisors (17447933942208).

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

5451994175040 is a wasteful number, since it uses less digits than its factorization.

5451994175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5451994175040 in words is "five trillion, four hundred fifty-one billion, nine hundred ninety-four million, one hundred seventy-five thousand, forty".