412121640 has 128 divisors (see below), whose sum is σ = 1439804160. Its totient is φ = 92411904.

The previous prime is 412121557. The next prime is 412121663. The reversal of 412121640 is 46121214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39892 + ... + 49148.

It is an arithmetic number, because the mean of its divisors is an integer number (11248470).

Almost surely, 2^412121640 is an apocalyptic number.

412121640 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 412121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719902080).

412121640 is an abundant number, since it is smaller than the sum of its proper divisors (1027682520).

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

412121640 is a wasteful number, since it uses less digits than its factorization.

412121640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 412121640 is about 20300.7792953867. The cubic root of 412121640 is about 744.1751090892.

Adding to 412121640 its reverse (46121214), we get a palindrome (458242854).

The spelling of 412121640 in words is "four hundred twelve million, one hundred twenty-one thousand, six hundred forty".