401255115103120 has 40 divisors (see below), whose sum is σ = 934708772544120. Its totient is φ = 160193980677120.

The previous prime is 401255115103067. The next prime is 401255115103127. The reversal of 401255115103120 is 21301511552104.

It can be written as a sum of positive squares in 4 ways, for example, as 62819193332736 + 338435921770384 = 7925856^2 + 18396628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401255115103120² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401255115103127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4813479375 + ... + 4813562734.

It is an arithmetic number, because the mean of its divisors is an integer number (23367719313603).

Almost surely, 2^{401255115103120} is an apocalyptic number.

401255115103120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401255115103120 is an abundant number, since it is smaller than the sum of its proper divisors (533453657441000).

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

401255115103120 is a wasteful number, since it uses less digits than its factorization.

401255115103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627042643 (or 9627042637 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

Adding to 401255115103120 its reverse (21301511552104), we get a palindrome (422556626655224).

The spelling of 401255115103120 in words is "four hundred one trillion, two hundred fifty-five billion, one hundred fifteen million, one hundred three thousand, one hundred twenty".