401131011240 has 256 divisors, whose sum is σ = 1386801561600. Its totient is φ = 103025260800.

The previous prime is 401131011221. The next prime is 401131011301. The reversal of 401131011240 is 42110131104.

401131011240 is a `hidden beast` number, since 401 + 1 + 3 + 10 + 11 + 240 = 666.

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

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, 7035889 + ... + 7092671.

It is an arithmetic number, because the mean of its divisors is an integer number (5417193600).

Almost surely, 2^401131011240 is an apocalyptic number.

401131011240 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 401131011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693400780800).

401131011240 is an abundant number, since it is smaller than the sum of its proper divisors (985670550360).

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

401131011240 is a wasteful number, since it uses less digits than its factorization.

401131011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57045 (or 57035 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 401131011240 its reverse (42110131104), we get a palindrome (443241142344).

The spelling of 401131011240 in words is "four hundred one billion, one hundred thirty-one million, eleven thousand, two hundred forty".