401134010040 has 192 divisors, whose sum is σ = 1320740497440. Its totient is φ = 105572336640.

The previous prime is 401134010009. The next prime is 401134010051. The reversal of 401134010040 is 40010431104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401134009995 and 401134010022.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 31696354 + ... + 31709006.

Almost surely, 2^401134010040 is an apocalyptic number.

401134010040 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 401134010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660370248720).

401134010040 is an abundant number, since it is smaller than the sum of its proper divisors (919606487400).

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

401134010040 is a wasteful number, since it uses less digits than its factorization.

401134010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 401134010040 its reverse (40010431104), we get a palindrome (441144441144).

The spelling of 401134010040 in words is "four hundred one billion, one hundred thirty-four million, ten thousand, forty".