29290441680 has 60 divisors (see below), whose sum is σ = 98367069060. Its totient is φ = 7810784256.

The previous prime is 29290441637. The next prime is 29290441681. The reversal of 29290441680 is 8614409292.

It can be written as a sum of positive squares in 2 ways, for example, as 15593016384 + 13697425296 = 124872^2 + 117036^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29290441681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20339865 + ... + 20341304.

It is an arithmetic number, because the mean of its divisors is an integer number (1639451151).

Almost surely, 2^29290441680 is an apocalyptic number.

29290441680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29290441680 is an abundant number, since it is smaller than the sum of its proper divisors (69076627380).

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

29290441680 is a wasteful number, since it uses less digits than its factorization.

29290441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40681188 (or 40681179 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 29290441680 in words is "twenty-nine billion, two hundred ninety million, four hundred forty-one thousand, six hundred eighty".