40682007648 has 240 divisors, whose sum is σ = 123132184560. Its totient is φ = 13171175424.

The previous prime is 40682007623. The next prime is 40682007673. The reversal of 40682007648 is 84670028604.

It is an interprime number because it is at equal distance from previous prime (40682007623) and next prime (40682007673).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12675868 + ... + 12679076.

It is an arithmetic number, because the mean of its divisors is an integer number (513050769).

Almost surely, 2^40682007648 is an apocalyptic number.

40682007648 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 40682007648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61566092280).

40682007648 is an abundant number, since it is smaller than the sum of its proper divisors (82450176912).

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

40682007648 is a wasteful number, since it uses less digits than its factorization.

40682007648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40682007648 in words is "forty billion, six hundred eighty-two million, seven thousand, six hundred forty-eight".