400661060504160 has 192 divisors, whose sum is σ = 1269531030104064. Its totient is φ = 106212815308800.

The previous prime is 400661060504153. The next prime is 400661060504161. The reversal of 400661060504160 is 61405060166004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400661060504161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231193197 + ... + 232919763.

It is an arithmetic number, because the mean of its divisors is an integer number (6612140781792).

Almost surely, 2^{400661060504160} is an apocalyptic number.

400661060504160 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 400661060504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634765515052032).

400661060504160 is an abundant number, since it is smaller than the sum of its proper divisors (868869969599904).

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

400661060504160 is a wasteful number, since it uses less digits than its factorization.

400661060504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729437 (or 1729429 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 400661060504160 in words is "four hundred trillion, six hundred sixty-one billion, sixty million, five hundred four thousand, one hundred sixty".