6454401041088 has 1344 divisors, whose sum is σ = 26226852986880. Its totient is φ = 1461589401600.

The previous prime is 6454401041087. The next prime is 6454401041111. The reversal of 6454401041088 is 8801401044546.

6454401041088 is a `hidden beast` number, since 6 + 4 + 544 + 0 + 10 + 4 + 10 + 88 = 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 (6454401041087) 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, 4721580181 + ... + 4721581547.

It is an arithmetic number, because the mean of its divisors is an integer number (19514027520).

Almost surely, 2^{6454401041088} 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 6454401041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113426493440).

6454401041088 is an abundant number, since it is smaller than the sum of its proper divisors (19772451945792).

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

6454401041088 is a wasteful number, since it uses less digits than its factorization.

6454401041088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 6454401041088 in words is "six trillion, four hundred fifty-four billion, four hundred one million, forty-one thousand, eighty-eight".