6401571490800 has 840 divisors, whose sum is σ = 23686465746944. Its totient is φ = 1660955466240.

The previous prime is 6401571490799. The next prime is 6401571490817. The reversal of 6401571490800 is 80941751046.

6401571490800 is a `hidden beast` number, since 6 + 4 + 0 + 15 + 71 + 490 + 80 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3849410769 + ... + 3849412431.

Almost surely, 2^{6401571490800} is an apocalyptic number.

6401571490800 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 6401571490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843232873472).

6401571490800 is an abundant number, since it is smaller than the sum of its proper divisors (17284894256144).

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

6401571490800 is a wasteful number, since it uses less digits than its factorization.

6401571490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 6401571490800 in words is "six trillion, four hundred one billion, five hundred seventy-one million, four hundred ninety thousand, eight hundred".