401513542240 has 96 divisors (see below), whose sum is σ = 987872760000. Its totient is φ = 154026313728.

The previous prime is 401513542201. The next prime is 401513542247. The reversal of 401513542240 is 42245315104.

It is a super-2 number, since 2×401513542240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401513542247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400981 + ... + 981739.

It is an arithmetic number, because the mean of its divisors is an integer number (10290341250).

Almost surely, 2^401513542240 is an apocalyptic number.

401513542240 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 401513542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493936380000).

401513542240 is an abundant number, since it is smaller than the sum of its proper divisors (586359217760).

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

401513542240 is a wasteful number, since it uses less digits than its factorization.

401513542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580952 (or 580944 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 401513542240 its reverse (42245315104), we get a palindrome (443758857344).

The spelling of 401513542240 in words is "four hundred one billion, five hundred thirteen million, five hundred forty-two thousand, two hundred forty".