29666490240 has 256 divisors, whose sum is σ = 96912599040. Its totient is φ = 7715635200.

The previous prime is 29666490233. The next prime is 29666490257. The reversal of 29666490240 is 4209466692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29666490240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47014725 + ... + 47015355.

It is an arithmetic number, because the mean of its divisors is an integer number (378564840).

Almost surely, 2^29666490240 is an apocalyptic number.

29666490240 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 29666490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48456299520).

29666490240 is an abundant number, since it is smaller than the sum of its proper divisors (67246108800).

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

29666490240 is a wasteful number, since it uses less digits than its factorization.

29666490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 29666490240 in words is "twenty-nine billion, six hundred sixty-six million, four hundred ninety thousand, two hundred forty".