408154231946412 has 432 divisors, whose sum is σ = 1281767512334400. Its totient is φ = 108809543614464.

The previous prime is 408154231946401. The next prime is 408154231946441. The reversal of 408154231946412 is 214649132451804.

408154231946412 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 542 + 3 + 1 + 94 + 6 + 4 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1652905068 + ... + 1653151980.

It is an arithmetic number, because the mean of its divisors is an integer number (2967054426700).

Almost surely, 2^{408154231946412} is an apocalyptic number.

408154231946412 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 408154231946412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640883756167200).

408154231946412 is an abundant number, since it is smaller than the sum of its proper divisors (873613280387988).

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

408154231946412 is a wasteful number, since it uses less digits than its factorization.

408154231946412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247430 (or 247418 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 408154231946412 in words is "four hundred eight trillion, one hundred fifty-four billion, two hundred thirty-one million, nine hundred forty-six thousand, four hundred twelve".