412041012480 has 360 divisors, whose sum is σ = 1479184991592. Its totient is φ = 109517930496.

The previous prime is 412041012469. The next prime is 412041012499. The reversal of 412041012480 is 84210140214.

412041012480 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 410 + 1 + 248 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14596505856 + 397444506624 = 120816^2 + 630432^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32445492 + ... + 32458188.

Almost surely, 2^412041012480 is an apocalyptic number.

412041012480 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 412041012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739592495796).

412041012480 is an abundant number, since it is smaller than the sum of its proper divisors (1067143979112).

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

412041012480 is a wasteful number, since it uses less digits than its factorization.

412041012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 412041012480 its reverse (84210140214), we get a palindrome (496251152694).

The spelling of 412041012480 in words is "four hundred twelve billion, forty-one million, twelve thousand, four hundred eighty".