401156331000 has 256 divisors, whose sum is σ = 1315344476160. Its totient is φ = 101662041600.

The previous prime is 401156330969. The next prime is 401156331011. The reversal of 401156331000 is 133651104.

It is a super-2 number, since 2×401156331000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4730977 + ... + 4815023.

It is an arithmetic number, because the mean of its divisors is an integer number (5138064360).

Almost surely, 2^401156331000 is an apocalyptic number.

401156331000 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 401156331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657672238080).

401156331000 is an abundant number, since it is smaller than the sum of its proper divisors (914188145160).

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

401156331000 is a wasteful number, since it uses less digits than its factorization.

401156331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84151 (or 84137 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 401156331000 its reverse (133651104), we get a palindrome (401289982104).

The spelling of 401156331000 in words is "four hundred one billion, one hundred fifty-six million, three hundred thirty-one thousand".