400744350720 has 1760 divisors, whose sum is σ = 1745491900416. Its totient is φ = 85996339200.

The previous prime is 400744350719. The next prime is 400744350733. The reversal of 400744350720 is 27053447004.

400744350720 is a `hidden beast` number, since 40 + 0 + 74 + 43 + 507 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5489648604 + ... + 5489648676.

Almost surely, 2^400744350720 is an apocalyptic number.

400744350720 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 400744350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872745950208).

400744350720 is an abundant number, since it is smaller than the sum of its proper divisors (1344747549696).

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

400744350720 is a wasteful number, since it uses less digits than its factorization.

400744350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

Adding to 400744350720 its reverse (27053447004), we get a palindrome (427797797724).

The spelling of 400744350720 in words is "four hundred billion, seven hundred forty-four million, three hundred fifty thousand, seven hundred twenty".