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421589214720 = 29375257293
BaseRepresentation
bin1100010001010001010…
…11001110011000000000
31111022012021111010000000
412020220223032120000
523401403314332340
6521401520000000
742313242124662
oct6105053163000
91438167433000
10421589214720
11152882136a13
1269859460000
13309a93438cb
1416595572532
15ae76e32d30
hex6228ace600

421589214720 has 640 divisors, whose sum is σ = 1527101009280. Its totient is φ = 111604137984.

The previous prime is 421589214659. The next prime is 421589214727. The reversal of 421589214720 is 27412985124.

421589214720 is a `hidden beast` number, since 4 + 2 + 1 + 589 + 2 + 1 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421589214727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1438870894 + ... + 1438871186.

It is an arithmetic number, because the mean of its divisors is an integer number (2386095327).

Almost surely, 2421589214720 is an apocalyptic number.

421589214720 is a gapful number since it is divisible by the number (40) 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 421589214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763550504640).

421589214720 is an abundant number, since it is smaller than the sum of its proper divisors (1105511794560).

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

421589214720 is an frugal number, since it uses more digits than its factorization.

421589214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 421589214720 in words is "four hundred twenty-one billion, five hundred eighty-nine million, two hundred fourteen thousand, seven hundred twenty".