40705625328 has 80 divisors (see below), whose sum is σ = 108675044352. Its totient is φ = 13115520000.

The previous prime is 40705625291. The next prime is 40705625329. The reversal of 40705625328 is 82352650704.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40705625328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40705625329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295403 + ... + 1326453.

Almost surely, 2^40705625328 is an apocalyptic number.

40705625328 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 40705625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54337522176).

40705625328 is an abundant number, since it is smaller than the sum of its proper divisors (67969419024).

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

40705625328 is a wasteful number, since it uses less digits than its factorization.

40705625328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31974 (or 31968 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 40705625328 in words is "forty billion, seven hundred five million, six hundred twenty-five thousand, three hundred twenty-eight".