412495345080 has 768 divisors, whose sum is σ = 1783863244800. Its totient is φ = 80218460160.

The previous prime is 412495345069. The next prime is 412495345091. The reversal of 412495345080 is 80543594214.

412495345080 is a `hidden beast` number, since 4 + 1 + 2 + 495 + 34 + 50 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (412495345069) and next prime (412495345091).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23021325 + ... + 23039235.

It is an arithmetic number, because the mean of its divisors is an integer number (2322738600).

Almost surely, 2^412495345080 is an apocalyptic number.

412495345080 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 412495345080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891931622400).

412495345080 is an abundant number, since it is smaller than the sum of its proper divisors (1371367899720).

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

412495345080 is a wasteful number, since it uses less digits than its factorization.

412495345080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18004 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 412495345080 in words is "four hundred twelve billion, four hundred ninety-five million, three hundred forty-five thousand, eighty".