412274865848832 has 480 divisors, whose sum is σ = 1379281548902400. Its totient is φ = 116108772433920.

The previous prime is 412274865848821. The next prime is 412274865848863. The reversal of 412274865848832 is 238848568472214.

412274865848832 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 7 + 4 + 8 + 6 + 584 + 8 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 12364643553 + ... + 12364676895.

It is an arithmetic number, because the mean of its divisors is an integer number (2873503226880).

Almost surely, 2^{412274865848832} is an apocalyptic number.

412274865848832 is a gapful number since it is divisible by the number (42) 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 412274865848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689640774451200).

412274865848832 is an abundant number, since it is smaller than the sum of its proper divisors (967006683053568).

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

412274865848832 is a wasteful number, since it uses less digits than its factorization.

412274865848832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38844 (or 38825 counting only the distinct ones).

The product of its digits is 1321205760, while the sum is 72.

The spelling of 412274865848832 in words is "four hundred twelve trillion, two hundred seventy-four billion, eight hundred sixty-five million, eight hundred forty-eight thousand, eight hundred thirty-two".