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421021540240000 = 275472297327307
BaseRepresentation
bin101111110111010101011011…
…1010110010100101010000000
32001012201021012000220121121021
41133232222313112110222000
5420141004103300140000
64051234343033435224
7154452542152512640
oct13756526726245200
92035637160817537
10421021540240000
11112172261502767
123b278965b6bb14
13150c021261605b
1475d77a09b0520
1533a1b0a7de11a
hex17eeab7594a80

421021540240000 has 320 divisors, whose sum is σ = 1198361494820160. Its totient is φ = 144286958592000.

The previous prime is 421021540239893. The next prime is 421021540240051. The reversal of 421021540240000 is 42045120124.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1286156347 + ... + 1286483653.

It is an arithmetic number, because the mean of its divisors is an integer number (3744879671313).

Almost surely, 2421021540240000 is an apocalyptic number.

421021540240000 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 421021540240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599180747410080).

421021540240000 is an abundant number, since it is smaller than the sum of its proper divisors (777339954580160).

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

421021540240000 is an equidigital number, since it uses as much as digits as its factorization.

421021540240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329645 (or 329618 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 421021540240000 its reverse (42045120124), we get a palindrome (421063585360124).

The spelling of 421021540240000 in words is "four hundred twenty-one trillion, twenty-one billion, five hundred forty million, two hundred forty thousand".