29027039442240 has 2688 divisors, whose sum is σ = 119245718937600. Its totient is φ = 5846025830400.

The previous prime is 29027039442229. The next prime is 29027039442371. The reversal of 29027039442240 is 4224493072092.

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 29027039442240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 408831541405 + ... + 408831541475.

Almost surely, 2^{29027039442240} is an apocalyptic number.

29027039442240 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 29027039442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59622859468800).

29027039442240 is an abundant number, since it is smaller than the sum of its proper divisors (90218679495360).

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

29027039442240 is a wasteful number, since it uses less digits than its factorization.

29027039442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 29027039442240 in words is "twenty-nine trillion, twenty-seven billion, thirty-nine million, four hundred forty-two thousand, two hundred forty".