40523656320 has 1024 divisors, whose sum is σ = 172589875200. Its totient is φ = 8792064000.

The previous prime is 40523656259. The next prime is 40523656331. The reversal of 40523656320 is 2365632504.

40523656320 is a `hidden beast` number, since 40 + 5 + 2 + 36 + 563 + 20 = 666.

40523656320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 378725707 + ... + 378725813.

It is an arithmetic number, because the mean of its divisors is an integer number (168544800).

Almost surely, 2^40523656320 is an apocalyptic number.

40523656320 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 40523656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86294937600).

40523656320 is an abundant number, since it is smaller than the sum of its proper divisors (132066218880).

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

40523656320 is a wasteful number, since it uses less digits than its factorization.

40523656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 40523656320 in words is "forty billion, five hundred twenty-three million, six hundred fifty-six thousand, three hundred twenty".