400381582848 has 240 divisors, whose sum is σ = 1166983027056. Its totient is φ = 121916620800.

The previous prime is 400381582837. The next prime is 400381582849. The reversal of 400381582848 is 848285183004.

It is a super-2 number, since 2×400381582848² (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 400381582848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400381582849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25171698 + ... + 25187598.

Almost surely, 2^400381582848 is an apocalyptic number.

400381582848 is a gapful number since it is divisible by the number (48) 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 400381582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583491513528).

400381582848 is an abundant number, since it is smaller than the sum of its proper divisors (766601444208).

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

400381582848 is a wasteful number, since it uses less digits than its factorization.

400381582848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16045 (or 16016 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 400381582848 in words is "four hundred billion, three hundred eighty-one million, five hundred eighty-two thousand, eight hundred forty-eight".