406197212037120 has 2400 divisors, whose sum is σ = 1742357210001408. Its totient is φ = 88516605247488.

The previous prime is 406197212037109. The next prime is 406197212037139. The reversal of 406197212037120 is 21730212791604.

406197212037120 is a `hidden beast` number, since 4 + 0 + 61 + 9 + 7 + 212 + 0 + 371 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 558730690197 + ... + 558730690923.

Almost surely, 2^{406197212037120} is an apocalyptic number.

406197212037120 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 406197212037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871178605000704).

406197212037120 is an abundant number, since it is smaller than the sum of its proper divisors (1336159997964288).

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

406197212037120 is an equidigital number, since it uses as much as digits as its factorization.

406197212037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 406197212037120 in words is "four hundred six trillion, one hundred ninety-seven billion, two hundred twelve million, thirty-seven thousand, one hundred twenty".