412319571480 has 768 divisors, whose sum is σ = 1513823385600. Its totient is φ = 100990457856.

The previous prime is 412319571451. The next prime is 412319571563. The reversal of 412319571480 is 84175913214.

412319571480 is a `hidden beast` number, since 4 + 1 + 2 + 31 + 9 + 571 + 48 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1188240667 + ... + 1188241013.

It is an arithmetic number, because the mean of its divisors is an integer number (1971124200).

Almost surely, 2^412319571480 is an apocalyptic number.

412319571480 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 412319571480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756911692800).

412319571480 is an abundant number, since it is smaller than the sum of its proper divisors (1101503814120).

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

412319571480 is a wasteful number, since it uses less digits than its factorization.

412319571480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 412319571480 in words is "four hundred twelve billion, three hundred nineteen million, five hundred seventy-one thousand, four hundred eighty".