401052254240 has 144 divisors (see below), whose sum is σ = 1042014115800. Its totient is φ = 145758412800.

The previous prime is 401052254149. The next prime is 401052254287. The reversal of 401052254240 is 42452250104.

It can be written as a sum of positive squares in 4 ways, for example, as 212185524496 + 188866729744 = 460636^2 + 434588^2 .

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, 45317336 + ... + 45326184.

Almost surely, 2^401052254240 is an apocalyptic number.

401052254240 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 401052254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521007057900).

401052254240 is an abundant number, since it is smaller than the sum of its proper divisors (640961861560).

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

401052254240 is a wasteful number, since it uses less digits than its factorization.

401052254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11227 (or 11208 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 401052254240 in words is "four hundred one billion, fifty-two million, two hundred fifty-four thousand, two hundred forty".