40328700640 has 144 divisors (see below), whose sum is σ = 98767178496. Its totient is φ = 15557068800.

The previous prime is 40328700589. The next prime is 40328700647. The reversal of 40328700640 is 4600782304.

It is a junction number, because it is equal to n+sod(n) for n = 40328700596 and 40328700605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40328700647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27415105 + ... + 27416575.

It is an arithmetic number, because the mean of its divisors is an integer number (685883184).

Almost surely, 2^40328700640 is an apocalyptic number.

40328700640 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 40328700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49383589248).

40328700640 is an abundant number, since it is smaller than the sum of its proper divisors (58438477856).

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

40328700640 is a wasteful number, since it uses less digits than its factorization.

40328700640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 40328700640 in words is "forty billion, three hundred twenty-eight million, seven hundred thousand, six hundred forty".