40629586304 has 128 divisors (see below), whose sum is σ = 84946579200. Its totient is φ = 19341776896.

The previous prime is 40629586303. The next prime is 40629586313. The reversal of 40629586304 is 40368592604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40629586303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33220637 + ... + 33221859.

It is an arithmetic number, because the mean of its divisors is an integer number (663645150).

Almost surely, 2^40629586304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40629586304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42473289600).

40629586304 is an abundant number, since it is smaller than the sum of its proper divisors (44316992896).

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

40629586304 is a wasteful number, since it uses less digits than its factorization.

40629586304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 40629586304 in words is "forty billion, six hundred twenty-nine million, five hundred eighty-six thousand, three hundred four".