40464687648 has 576 divisors, whose sum is σ = 144123090048. Its totient is φ = 9795502080.

The previous prime is 40464687643. The next prime is 40464687667. The reversal of 40464687648 is 84678646404.

It is not an unprimeable number, because it can be changed into a prime (40464687643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138104590 + ... + 138104882.

It is an arithmetic number, because the mean of its divisors is an integer number (250213698).

Almost surely, 2^40464687648 is an apocalyptic number.

40464687648 is a gapful number since it is divisible by the number (48) 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 40464687648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72061545024).

40464687648 is an abundant number, since it is smaller than the sum of its proper divisors (103658402400).

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

40464687648 is a wasteful number, since it uses less digits than its factorization.

40464687648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

It can be divided in two parts, 404646 and 87648, that added together give a palindrome (492294).

The spelling of 40464687648 in words is "forty billion, four hundred sixty-four million, six hundred eighty-seven thousand, six hundred forty-eight".