401139246240 has 192 divisors, whose sum is σ = 1436638896000. Its totient is φ = 104482732032.

The previous prime is 401139246227. The next prime is 401139246241. The reversal of 401139246240 is 42642931104.

401139246240 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 3 + 9 + 24 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401139246195 and 401139246204.

It is not an unprimeable number, because it can be changed into a prime (401139246241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893965 + ... + 1265484.

It is an arithmetic number, because the mean of its divisors is an integer number (7482494250).

Almost surely, 2^401139246240 is an apocalyptic number.

401139246240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401139246240 is an abundant number, since it is smaller than the sum of its proper divisors (1035499649760).

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

401139246240 is a wasteful number, since it uses less digits than its factorization.

401139246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159516 (or 2159502 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 401139246240 in words is "four hundred one billion, one hundred thirty-nine million, two hundred forty-six thousand, two hundred forty".