401413142031440 has 80 divisors (see below), whose sum is σ = 1163576796140160. Its totient is φ = 125115784527360.

The previous prime is 401413142031337. The next prime is 401413142031443. The reversal of 401413142031440 is 44130241314104.

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

It is a super-2 number, since 2×401413142031440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401413142031397 and 401413142031406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401413142031443) 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, 32582229395 + ... + 32582241714.

It is an arithmetic number, because the mean of its divisors is an integer number (14544709951752).

Almost surely, 2^{401413142031440} is an apocalyptic number.

401413142031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401413142031440 is an abundant number, since it is smaller than the sum of its proper divisors (762163654108720).

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

401413142031440 is a wasteful number, since it uses less digits than its factorization.

401413142031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65164471140 (or 65164471134 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 401413142031440 its reverse (44130241314104), we get a palindrome (445543383345544).

The spelling of 401413142031440 in words is "four hundred one trillion, four hundred thirteen billion, one hundred forty-two million, thirty-one thousand, four hundred forty".