400134835840 has 256 divisors, whose sum is σ = 1016914500000. Its totient is φ = 150287155200.

The previous prime is 400134835829. The next prime is 400134835861. The reversal of 400134835840 is 48538431004.

It can be written as a sum of positive squares in 16 ways, for example, as 47555397184 + 352579438656 = 218072^2 + 593784^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 400134835793 and 400134835802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320363536 + ... + 320364784.

Almost surely, 2^400134835840 is an apocalyptic number.

400134835840 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 400134835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508457250000).

400134835840 is an abundant number, since it is smaller than the sum of its proper divisors (616779664160).

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

400134835840 is a wasteful number, since it uses less digits than its factorization.

400134835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 400134835840 in words is "four hundred billion, one hundred thirty-four million, eight hundred thirty-five thousand, eight hundred forty".