400426416780 has 384 divisors, whose sum is σ = 1259377459200. Its totient is φ = 94445485056.

The previous prime is 400426416779. The next prime is 400426416799. The reversal of 400426416780 is 87614624004.

400426416780 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301752477 + ... + 301753803.

It is an arithmetic number, because the mean of its divisors is an integer number (3279628800).

Almost surely, 2^400426416780 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 400426416780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629688729600).

400426416780 is an abundant number, since it is smaller than the sum of its proper divisors (858951042420).

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

400426416780 is a wasteful number, since it uses less digits than its factorization.

400426416780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 400426416780 in words is "four hundred billion, four hundred twenty-six million, four hundred sixteen thousand, seven hundred eighty".