412014208640 has 256 divisors, whose sum is σ = 1071326269440. Its totient is φ = 150906470400.

The previous prime is 412014208637. The next prime is 412014208651. The reversal of 412014208640 is 46802410214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 412014208597 and 412014208606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192259409 + ... + 192261551.

It is an arithmetic number, because the mean of its divisors is an integer number (4184868240).

Almost surely, 2^412014208640 is an apocalyptic number.

412014208640 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 412014208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535663134720).

412014208640 is an abundant number, since it is smaller than the sum of its proper divisors (659312060800).

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

412014208640 is a wasteful number, since it uses less digits than its factorization.

412014208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 412014208640 its reverse (46802410214), we get a palindrome (458816618854).

The spelling of 412014208640 in words is "four hundred twelve billion, fourteen million, two hundred eight thousand, six hundred forty".