40834800 has 240 divisors, whose sum is σ = 153760000. Its totient is φ = 10264320.

The previous prime is 40834793. The next prime is 40834831. The reversal of 40834800 is 843804.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205101 + ... + 205299.

Almost surely, 2^40834800 is an apocalyptic number.

40834800 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 40834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76880000).

40834800 is an abundant number, since it is smaller than the sum of its proper divisors (112925200).

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

40834800 is a wasteful number, since it uses less digits than its factorization.

40834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40834800 is about 6390.2112641133. The cubic root of 40834800 is about 344.3579742089.

The spelling of 40834800 in words is "forty million, eight hundred thirty-four thousand, eight hundred".