412611748080 has 240 divisors, whose sum is σ = 1506766417920. Its totient is φ = 93117233664.

The previous prime is 412611748069. The next prime is 412611748099. The reversal of 412611748080 is 80847116214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 706977 + ... + 1151103.

It is an arithmetic number, because the mean of its divisors is an integer number (6278193408).

Almost surely, 2^412611748080 is an apocalyptic number.

412611748080 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 412611748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753383208960).

412611748080 is an abundant number, since it is smaller than the sum of its proper divisors (1094154669840).

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

412611748080 is a wasteful number, since it uses less digits than its factorization.

412611748080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444236 (or 444223 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 412611748080 in words is "four hundred twelve billion, six hundred eleven million, seven hundred forty-eight thousand, eighty".