400226930880 has 448 divisors, whose sum is σ = 1552947904512. Its totient is φ = 85244313600.

The previous prime is 400226930839. The next prime is 400226930893. The reversal of 400226930880 is 88039622004.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 11520897 + ... + 11555583.

Almost surely, 2^400226930880 is an apocalyptic number.

400226930880 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 400226930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776473952256).

400226930880 is an abundant number, since it is smaller than the sum of its proper divisors (1152720973632).

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

400226930880 is a wasteful number, since it uses less digits than its factorization.

400226930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34832 (or 34822 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 400226930880 in words is "four hundred billion, two hundred twenty-six million, nine hundred thirty thousand, eight hundred eighty".