40609400832 has 1152 divisors, whose sum is σ = 164846223360. Its totient is φ = 9289728000.

The previous prime is 40609400813. The next prime is 40609400861. The reversal of 40609400832 is 23800490604.

It is a happy number.

40609400832 is a `hidden beast` number, since 4 + 0 + 609 + 40 + 0 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571963357 + ... + 571963427.

It is an arithmetic number, because the mean of its divisors is an integer number (143095680).

Almost surely, 2^40609400832 is an apocalyptic number.

40609400832 is a gapful number since it is divisible by the number (42) 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 40609400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82423111680).

40609400832 is an abundant number, since it is smaller than the sum of its proper divisors (124236822528).

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

40609400832 is a wasteful number, since it uses less digits than its factorization.

40609400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

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

The spelling of 40609400832 in words is "forty billion, six hundred nine million, four hundred thousand, eight hundred thirty-two".