401233121313440 has 48 divisors (see below), whose sum is σ = 1020829652885448. Its totient is φ = 148147614022656.

The previous prime is 401233121313257. The next prime is 401233121313463. The reversal of 401233121313440 is 44313121332104.

It can be written as a sum of positive squares in 4 ways, for example, as 201588542483344 + 199644578830096 = 14198188^2 + 14129564^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 401233121313397 and 401233121313406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96450267467 + ... + 96450271626.

Almost surely, 2^{401233121313440} is an apocalyptic number.

401233121313440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401233121313440 is an abundant number, since it is smaller than the sum of its proper divisors (619596531572008).

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

401233121313440 is a wasteful number, since it uses less digits than its factorization.

401233121313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192900539121 (or 192900539113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 401233121313440 its reverse (44313121332104), we get a palindrome (445546242645544).

The spelling of 401233121313440 in words is "four hundred one trillion, two hundred thirty-three billion, one hundred twenty-one million, three hundred thirteen thousand, four hundred forty".