401231624000160 has 192 divisors, whose sum is σ = 1284624661259520. Its totient is φ = 105238975610880.

The previous prime is 401231624000149. The next prime is 401231624000191. The reversal of 401231624000160 is 61000426132104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924148064 + ... + 1924356576.

It is an arithmetic number, because the mean of its divisors is an integer number (6690753444060).

Almost surely, 2^{401231624000160} is an apocalyptic number.

401231624000160 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 401231624000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642312330629760).

401231624000160 is an abundant number, since it is smaller than the sum of its proper divisors (883393037259360).

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

401231624000160 is a wasteful number, since it uses less digits than its factorization.

401231624000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274311 (or 274303 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 401231624000160 in words is "four hundred one trillion, two hundred thirty-one billion, six hundred twenty-four million, one hundred sixty", and thus it is an aban number.