21829429440 has 1008 divisors, whose sum is σ = 95934934368. Its totient is φ = 4514807808.

The previous prime is 21829429397. The next prime is 21829429451. The reversal of 21829429440 is 4492492812.

21829429440 is a `hidden beast` number, since 2 + 182 + 9 + 4 + 29 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133922799 + ... + 133922961.

It is an arithmetic number, because the mean of its divisors is an integer number (95173546).

Almost surely, 2^21829429440 is an apocalyptic number.

21829429440 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 21829429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47967467184).

21829429440 is an abundant number, since it is smaller than the sum of its proper divisors (74105504928).

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

21829429440 is a wasteful number, since it uses less digits than its factorization.

21829429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21829429440 in words is "twenty-one billion, eight hundred twenty-nine million, four hundred twenty-nine thousand, four hundred forty".