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421042489400 = 2352134318472039
BaseRepresentation
bin1100010000010000001…
…01101000100000111000
31111020210011201120212002
412020020011220200320
523344243334130100
6521231345440132
742263553052421
oct6101005504070
91436704646762
10421042489400
11152621566105
1269726340048
133091ccabac0
1416542ad6648
15ae43e3a2d5
hex6208168838

421042489400 has 192 divisors, whose sum is σ = 1079855884800. Its totient is φ = 151689807360.

The previous prime is 421042489363. The next prime is 421042489411. The reversal of 421042489400 is 4984240124.

It is a super-3 number, since 3×4210424894003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206493581 + ... + 206495619.

It is an arithmetic number, because the mean of its divisors is an integer number (5624249400).

Almost surely, 2421042489400 is an apocalyptic number.

421042489400 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 421042489400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539927942400).

421042489400 is an abundant number, since it is smaller than the sum of its proper divisors (658813395400).

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

421042489400 is a wasteful number, since it uses less digits than its factorization.

421042489400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 421042489400 in words is "four hundred twenty-one billion, forty-two million, four hundred eighty-nine thousand, four hundred".