400984522848 has 1440 divisors, whose sum is σ = 1576907196480. Its totient is φ = 97193779200.

The previous prime is 400984522781. The next prime is 400984522859. The reversal of 400984522848 is 848225489004.

400984522848 is a `hidden beast` number, since 40 + 0 + 98 + 452 + 28 + 48 = 666.

It is a super-4 number, since 4×400984522848⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 400984522794 and 400984522803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6573516738 + ... + 6573516798.

It is an arithmetic number, because the mean of its divisors is an integer number (1095074442).

Almost surely, 2^400984522848 is an apocalyptic number.

400984522848 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 400984522848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788453598240).

400984522848 is an abundant number, since it is smaller than the sum of its proper divisors (1175922673632).

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

400984522848 is a wasteful number, since it uses less digits than its factorization.

400984522848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 400984522848 in words is "four hundred billion, nine hundred eighty-four million, five hundred twenty-two thousand, eight hundred forty-eight".