29826490140 has 384 divisors, whose sum is σ = 102332160000. Its totient is φ = 7178637312.

The previous prime is 29826490097. The next prime is 29826490147. The reversal of 29826490140 is 4109462892.

29826490140 is a `hidden beast` number, since 298 + 264 + 90 + 14 + 0 = 666.

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 (29826490147) 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 127 ways as a sum of consecutive naturals, for example, 52977499 + ... + 52978061.

It is an arithmetic number, because the mean of its divisors is an integer number (266490000).

Almost surely, 2^29826490140 is an apocalyptic number.

29826490140 is a gapful number since it is divisible by the number (20) 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 29826490140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166080000).

29826490140 is an abundant number, since it is smaller than the sum of its proper divisors (72505669860).

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

29826490140 is a wasteful number, since it uses less digits than its factorization.

29826490140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

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

The spelling of 29826490140 in words is "twenty-nine billion, eight hundred twenty-six million, four hundred ninety thousand, one hundred forty".