40280234400 has 1296 divisors, whose sum is σ = 177828618240. Its totient is φ = 8534937600.

The previous prime is 40280234389. The next prime is 40280234417. The reversal of 40280234400 is 443208204.

It is a happy number.

40280234400 is a `hidden beast` number, since 4 + 0 + 28 + 0 + 234 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 317167137 + ... + 317167263.

It is an arithmetic number, because the mean of its divisors is an integer number (137213440).

Almost surely, 2^40280234400 is an apocalyptic number.

40280234400 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 40280234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914309120).

40280234400 is an abundant number, since it is smaller than the sum of its proper divisors (137548383840).

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

40280234400 is a wasteful number, since it uses less digits than its factorization.

40280234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 40280234400 in words is "forty billion, two hundred eighty million, two hundred thirty-four thousand, four hundred".