40320011264 has 352 divisors, whose sum is σ = 99042048000. Its totient is φ = 16213671936.

The previous prime is 40320011257. The next prime is 40320011279. The reversal of 40320011264 is 46211002304.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168702857 + ... + 168703095.

Almost surely, 2^40320011264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521024000).

40320011264 is an abundant number, since it is smaller than the sum of its proper divisors (58722036736).

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

40320011264 is a wasteful number, since it uses less digits than its factorization.

40320011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 40320011264 its reverse (46211002304), we get a palindrome (86531013568).

The spelling of 40320011264 in words is "forty billion, three hundred twenty million, eleven thousand, two hundred sixty-four".