21050029440 has 512 divisors, whose sum is σ = 82752192000. Its totient is φ = 5013872640.

The previous prime is 21050029361. The next prime is 21050029489. The reversal of 21050029440 is 4492005012.

21050029440 is a `hidden beast` number, since 210 + 5 + 0 + 0 + 2 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11213782 + ... + 11215658.

It is an arithmetic number, because the mean of its divisors is an integer number (161625375).

Almost surely, 2^21050029440 is an apocalyptic number.

21050029440 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 21050029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41376096000).

21050029440 is an abundant number, since it is smaller than the sum of its proper divisors (61702162560).

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

21050029440 is a wasteful number, since it uses less digits than its factorization.

21050029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21050029440 in words is "twenty-one billion, fifty million, twenty-nine thousand, four hundred forty".