410021020332 has 384 divisors, whose sum is σ = 1389289144320. Its totient is φ = 101401217280.

The previous prime is 410021020313. The next prime is 410021020391. The reversal of 410021020332 is 233020120014.

410021020332 is a `hidden beast` number, since 4 + 100 + 210 + 20 + 332 = 666.

410021020332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410021020332² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42647958 + ... + 42657570.

It is an arithmetic number, because the mean of its divisors is an integer number (3617940480).

Almost surely, 2^410021020332 is an apocalyptic number.

410021020332 is a gapful number since it is divisible by the number (42) 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 410021020332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694644572160).

410021020332 is an abundant number, since it is smaller than the sum of its proper divisors (979268123988).

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

410021020332 is a wasteful number, since it uses less digits than its factorization.

410021020332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 410021020332 its reverse (233020120014), we get a palindrome (643041140346).

The spelling of 410021020332 in words is "four hundred ten billion, twenty-one million, twenty thousand, three hundred thirty-two".