401867136 has 288 divisors, whose sum is σ = 1347103800. Its totient is φ = 117849600.

The previous prime is 401867107. The next prime is 401867149. The reversal of 401867136 is 631768104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401867136² = 322994389993684992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 401867136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12963441 + ... + 12963471.

Almost surely, 2^401867136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673551900).

401867136 is an abundant number, since it is smaller than the sum of its proper divisors (945236664).

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

401867136 is a wasteful number, since it uses less digits than its factorization.

401867136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 401867136 is about 20046.6240549375. The cubic root of 401867136 is about 737.9509518596.

The spelling of 401867136 in words is "four hundred one million, eight hundred sixty-seven thousand, one hundred thirty-six".