401196000240 has 1600 divisors, whose sum is σ = 1796735001600. Its totient is φ = 80764895232.

The previous prime is 401196000199. The next prime is 401196000277. The reversal of 401196000240 is 42000691104.

401196000240 is a `hidden beast` number, since 4 + 0 + 1 + 19 + 600 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2036527822 + ... + 2036528018.

It is an arithmetic number, because the mean of its divisors is an integer number (1122959376).

Almost surely, 2^401196000240 is an apocalyptic number.

401196000240 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 401196000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898367500800).

401196000240 is an abundant number, since it is smaller than the sum of its proper divisors (1395539001360).

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

401196000240 is a wasteful number, since it uses less digits than its factorization.

401196000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 401196000240 its reverse (42000691104), we get a palindrome (443196691344).

The spelling of 401196000240 in words is "four hundred one billion, one hundred ninety-six million, two hundred forty", and thus it is an aban number.