406153682220 has 192 divisors, whose sum is σ = 1337717122560. Its totient is φ = 90773913600.

The previous prime is 406153682203. The next prime is 406153682237. The reversal of 406153682220 is 22286351604.

It is an interprime number because it is at equal distance from previous prime (406153682203) and next prime (406153682237).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6929196 + ... + 6987564.

It is an arithmetic number, because the mean of its divisors is an integer number (6967276680).

Almost surely, 2^406153682220 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 406153682220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668858561280).

406153682220 is an abundant number, since it is smaller than the sum of its proper divisors (931563440340).

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

406153682220 is a wasteful number, since it uses less digits than its factorization.

406153682220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59216 (or 59214 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 406153682220 in words is "four hundred six billion, one hundred fifty-three million, six hundred eighty-two thousand, two hundred twenty".