21284370432 has 384 divisors, whose sum is σ = 70309512000. Its totient is φ = 6317015040.

The previous prime is 21284370427. The next prime is 21284370533. The reversal of 21284370432 is 23407348212.

It is a happy number.

21284370432 is a `hidden beast` number, since 2 + 1 + 284 + 370 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20846082 + ... + 20847102.

Almost surely, 2^21284370432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21284370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154756000).

21284370432 is an abundant number, since it is smaller than the sum of its proper divisors (49025141568).

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

21284370432 is a wasteful number, since it uses less digits than its factorization.

21284370432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 21284370432 in words is "twenty-one billion, two hundred eighty-four million, three hundred seventy thousand, four hundred thirty-two".