40414033800 has 432 divisors, whose sum is σ = 158775552000. Its totient is φ = 9185299200.

The previous prime is 40414033799. The next prime is 40414033811. The reversal of 40414033800 is 833041404.

40414033800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16845001 + ... + 16847399.

It is an arithmetic number, because the mean of its divisors is an integer number (367536000).

Almost surely, 2^40414033800 is an apocalyptic number.

40414033800 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 40414033800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776000).

40414033800 is an abundant number, since it is smaller than the sum of its proper divisors (118361518200).

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

40414033800 is a wasteful number, since it uses less digits than its factorization.

40414033800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 40414033800 in words is "forty billion, four hundred fourteen million, thirty-three thousand, eight hundred".