412772142493620 has 1296 divisors, whose sum is σ = 1629122031613440. Its totient is φ = 84224418969600.

The previous prime is 412772142493609. The next prime is 412772142493657. The reversal of 412772142493620 is 26394241277214.

412772142493620 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 7 + 2 + 1 + 4 + 2 + 4 + 9 + 3 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 126656071551 + ... + 126656074809.

It is an arithmetic number, because the mean of its divisors is an integer number (1257038604640).

Almost surely, 2^{412772142493620} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412772142493620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814561015806720).

412772142493620 is an abundant number, since it is smaller than the sum of its proper divisors (1216349889119820).

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

412772142493620 is a wasteful number, since it uses less digits than its factorization.

412772142493620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 412772142493620 in words is "four hundred twelve trillion, seven hundred seventy-two billion, one hundred forty-two million, four hundred ninety-three thousand, six hundred twenty".