40964434560 has 1024 divisors, whose sum is σ = 173917670400. Its totient is φ = 9029615616.

The previous prime is 40964434543. The next prime is 40964434573. The reversal of 40964434560 is 6543446904.

40964434560 is a `hidden beast` number, since 40 + 9 + 6 + 4 + 43 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 362517064 + ... + 362517176.

It is an arithmetic number, because the mean of its divisors is an integer number (169841475).

Almost surely, 2^40964434560 is an apocalyptic number.

40964434560 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 40964434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958835200).

40964434560 is an abundant number, since it is smaller than the sum of its proper divisors (132953235840).

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

40964434560 is an equidigital number, since it uses as much as digits as its factorization.

40964434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 40964434560 in words is "forty billion, nine hundred sixty-four million, four hundred thirty-four thousand, five hundred sixty".