421185042720 has 288 divisors, whose sum is σ = 1585610483184. Its totient is φ = 101147443200.

The previous prime is 421185042709. The next prime is 421185042781. The reversal of 421185042720 is 27240581124.

It can be written as a sum of positive squares in 8 ways, for example, as 85401879696 + 335783163024 = 292236^2 + 579468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×421185042720² (a number of 24 digits) contains 22 as substring.

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

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, 493140 + ... + 1041900.

Almost surely, 2^421185042720 is an apocalyptic number.

421185042720 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 421185042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792805241592).

421185042720 is an abundant number, since it is smaller than the sum of its proper divisors (1164425440464).

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

421185042720 is a wasteful number, since it uses less digits than its factorization.

421185042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548836 (or 548825 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 421185042720 in words is "four hundred twenty-one billion, one hundred eighty-five million, forty-two thousand, seven hundred twenty".