401938640208 has 240 divisors, whose sum is σ = 1421020834560. Its totient is φ = 108084243456.

The previous prime is 401938640183. The next prime is 401938640209. The reversal of 401938640208 is 802046839104.

It is a happy number.

401938640208 is a `hidden beast` number, since 401 + 9 + 38 + 6 + 4 + 0 + 208 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401938640209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198616 + ... + 918327.

It is an arithmetic number, because the mean of its divisors is an integer number (5920920144).

Almost surely, 2^401938640208 is an apocalyptic number.

401938640208 is a gapful number since it is divisible by the number (48) 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 401938640208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710510417280).

401938640208 is an abundant number, since it is smaller than the sum of its proper divisors (1019082194352).

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

401938640208 is a wasteful number, since it uses less digits than its factorization.

401938640208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116991 (or 1116972 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 401938640208 in words is "four hundred one billion, nine hundred thirty-eight million, six hundred forty thousand, two hundred eight".