40609382400 has 756 divisors, whose sum is σ = 159879442842. Its totient is φ = 10192158720.

The previous prime is 40609382371. The next prime is 40609382413. The reversal of 40609382400 is 428390604.

It is a happy number.

40609382400 is a `hidden beast` number, since 4 + 0 + 609 + 3 + 8 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34828517376 + 5780865024 = 186624^2 + 76032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2388787192 + ... + 2388787208.

Almost surely, 2^40609382400 is an apocalyptic number.

40609382400 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 40609382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79939721421).

40609382400 is an abundant number, since it is smaller than the sum of its proper divisors (119270060442).

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

40609382400 is an frugal number, since it uses more digits than its factorization.

40609382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40609382400 in words is "forty billion, six hundred nine million, three hundred eighty-two thousand, four hundred".