400418463744 has 336 divisors, whose sum is σ = 1291889722032. Its totient is φ = 123197718528.

The previous prime is 400418463737. The next prime is 400418463787. The reversal of 400418463744 is 447364814004.

It is a happy number.

400418463744 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 1 + 8 + 4 + 637 + 4 + 4 = 666.

It is a super-2 number, since 2×400418463744² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400418463744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25870792 + ... + 25886264.

It is an arithmetic number, because the mean of its divisors is an integer number (3844909887).

Almost surely, 2^400418463744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400418463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645944861016).

400418463744 is an abundant number, since it is smaller than the sum of its proper divisors (891471258288).

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

400418463744 is an equidigital number, since it uses as much as digits as its factorization.

400418463744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15527 (or 15491 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 400418463744 in words is "four hundred billion, four hundred eighteen million, four hundred sixty-three thousand, seven hundred forty-four".