641095430400 has 864 divisors, whose sum is σ = 2402975783040. Its totient is φ = 169305292800.

The previous prime is 641095430341. The next prime is 641095430401. The reversal of 641095430400 is 4034590146.

641095430400 is a `hidden beast` number, since 6 + 4 + 109 + 543 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×641095430400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (641095430401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2281478260 + ... + 2281478540.

Almost surely, 2^641095430400 is an apocalyptic number.

641095430400 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 641095430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201487891520).

641095430400 is an abundant number, since it is smaller than the sum of its proper divisors (1761880352640).

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

641095430400 is an equidigital number, since it uses as much as digits as its factorization.

641095430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 641095430400 in words is "six hundred forty-one billion, ninety-five million, four hundred thirty thousand, four hundred".