40687320960 has 768 divisors, whose sum is σ = 168733393920. Its totient is φ = 8902656000.

The previous prime is 40687320937. The next prime is 40687320979. The reversal of 40687320960 is 6902378604.

40687320960 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 (45).

It is a congruent number.

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, 38712435 + ... + 38713485.

It is an arithmetic number, because the mean of its divisors is an integer number (219704940).

Almost surely, 2^40687320960 is an apocalyptic number.

40687320960 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 40687320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84366696960).

40687320960 is an abundant number, since it is smaller than the sum of its proper divisors (128046072960).

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

40687320960 is a wasteful number, since it uses less digits than its factorization.

40687320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40687320960 in words is "forty billion, six hundred eighty-seven million, three hundred twenty thousand, nine hundred sixty".