412016172680 has 384 divisors, whose sum is σ = 1188058752000. Its totient is φ = 127710535680.

The previous prime is 412016172677. The next prime is 412016172691. The reversal of 412016172680 is 86271610214.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84271676 + ... + 84276564.

It is an arithmetic number, because the mean of its divisors is an integer number (3093903000).

Almost surely, 2^412016172680 is an apocalyptic number.

412016172680 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 412016172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594029376000).

412016172680 is an abundant number, since it is smaller than the sum of its proper divisors (776042579320).

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

412016172680 is a wasteful number, since it uses less digits than its factorization.

412016172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

Adding to 412016172680 its reverse (86271610214), we get a palindrome (498287782894).

The spelling of 412016172680 in words is "four hundred twelve billion, sixteen million, one hundred seventy-two thousand, six hundred eighty".