401340199680 has 1296 divisors, whose sum is σ = 1774812967200. Its totient is φ = 86282993664.

The previous prime is 401340199661. The next prime is 401340199681. The reversal of 401340199680 is 86991043104.

401340199680 is a `hidden beast` number, since 40 + 1 + 340 + 199 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×401340199680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401340199681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259095546 + ... + 259097094.

It is an arithmetic number, because the mean of its divisors is an integer number (1369454450).

Almost surely, 2^401340199680 is an apocalyptic number.

401340199680 is a gapful number since it is divisible by the number (40) 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 401340199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887406483600).

401340199680 is an abundant number, since it is smaller than the sum of its proper divisors (1373472767520).

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

401340199680 is a wasteful number, since it uses less digits than its factorization.

401340199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 401340199680 in words is "four hundred one billion, three hundred forty million, one hundred ninety-nine thousand, six hundred eighty".