400226705208 has 1024 divisors, whose sum is σ = 1388482560000. Its totient is φ = 105380352000.

The previous prime is 400226705161. The next prime is 400226705267. The reversal of 400226705208 is 802507622004.

400226705208 is a `hidden beast` number, since 40 + 0 + 2 + 26 + 70 + 520 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4496929228 + ... + 4496929316.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940000).

Almost surely, 2^400226705208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400226705208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694241280000).

400226705208 is an abundant number, since it is smaller than the sum of its proper divisors (988255854792).

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

400226705208 is a wasteful number, since it uses less digits than its factorization.

400226705208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 400226705208 in words is "four hundred billion, two hundred twenty-six million, seven hundred five thousand, two hundred eight".