40946296320 has 240 divisors, whose sum is σ = 142451440560. Its totient is φ = 10869522432.

The previous prime is 40946296297. The next prime is 40946296333. The reversal of 40946296320 is 2369264904.

40946296320 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 6 + 2 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5226166 + ... + 5233994.

It is an arithmetic number, because the mean of its divisors is an integer number (593547669).

Almost surely, 2^40946296320 is an apocalyptic number.

40946296320 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 40946296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71225720280).

40946296320 is an abundant number, since it is smaller than the sum of its proper divisors (101505144240).

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

40946296320 is a wasteful number, since it uses less digits than its factorization.

40946296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 40946296320 in words is "forty billion, nine hundred forty-six million, two hundred ninety-six thousand, three hundred twenty".