40094045600 has 288 divisors, whose sum is σ = 114832650240. Its totient is φ = 13384719360.

The previous prime is 40094045599. The next prime is 40094045609. The reversal of 40094045600 is 654049004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40094045609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91330181 + ... + 91330619.

It is an arithmetic number, because the mean of its divisors is an integer number (398724480).

Almost surely, 2^40094045600 is an apocalyptic number.

40094045600 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 40094045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57416325120).

40094045600 is an abundant number, since it is smaller than the sum of its proper divisors (74738604640).

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

40094045600 is a wasteful number, since it uses less digits than its factorization.

40094045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 40094045600 in words is "forty billion, ninety-four million, forty-five thousand, six hundred".