406361213640 has 256 divisors, whose sum is σ = 1377886809600. Its totient is φ = 106498022400.

The previous prime is 406361213597. The next prime is 406361213677. The reversal of 406361213640 is 46312163604.

406361213640 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 6 + 1 + 2 + 1 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406361213595 and 406361213604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127344445 + ... + 127347635.

It is an arithmetic number, because the mean of its divisors is an integer number (5382370350).

Almost surely, 2^406361213640 is an apocalyptic number.

406361213640 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 406361213640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688943404800).

406361213640 is an abundant number, since it is smaller than the sum of its proper divisors (971525595960).

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

406361213640 is a wasteful number, since it uses less digits than its factorization.

406361213640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 406361213640 in words is "four hundred six billion, three hundred sixty-one million, two hundred thirteen thousand, six hundred forty".