401131034000 has 80 divisors (see below), whose sum is σ = 970918381056. Its totient is φ = 160289712000.

The previous prime is 401131033999. The next prime is 401131034099. The reversal of 401131034000 is 430131104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401131034000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401131034000.

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 15 ways as a sum of consecutive naturals, for example, 1880807 + ... + 2083193.

Almost surely, 2^401131034000 is an apocalyptic number.

401131034000 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 401131034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485459190528).

401131034000 is an abundant number, since it is smaller than the sum of its proper divisors (569787347056).

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

401131034000 is a wasteful number, since it uses less digits than its factorization.

401131034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203401 (or 203385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 401131034000 its reverse (430131104), we get a palindrome (401561165104).

The spelling of 401131034000 in words is "four hundred one billion, one hundred thirty-one million, thirty-four thousand".