29782274440920 has 128 divisors (see below), whose sum is σ = 90138586890240. Its totient is φ = 7871683438080.

The previous prime is 29782274440907. The next prime is 29782274440927. The reversal of 29782274440920 is 2904447228792.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29782274440927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14603029 + ... + 16517051.

It is an arithmetic number, because the mean of its divisors is an integer number (704207710080).

Almost surely, 2^{29782274440920} is an apocalyptic number.

29782274440920 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 29782274440920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45069293445120).

29782274440920 is an abundant number, since it is smaller than the sum of its proper divisors (60356312449320).

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

29782274440920 is a wasteful number, since it uses less digits than its factorization.

29782274440920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915185 (or 1915181 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

It can be divided in two parts, 2978227 and 4440920, that added together give a palindrome (7419147).

The spelling of 29782274440920 in words is "twenty-nine trillion, seven hundred eighty-two billion, two hundred seventy-four million, four hundred forty thousand, nine hundred twenty".