406262007620 has 192 divisors, whose sum is σ = 1024320460800. Its totient is φ = 135193411584.

The previous prime is 406262007611. The next prime is 406262007623. The reversal of 406262007620 is 26700262604.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (406262007623) by changing a digit.

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, 117516932 + ... + 117520388.

It is an arithmetic number, because the mean of its divisors is an integer number (5335002400).

Almost surely, 2^406262007620 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 406262007620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512160230400).

406262007620 is an abundant number, since it is smaller than the sum of its proper divisors (618058453180).

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

406262007620 is a wasteful number, since it uses less digits than its factorization.

406262007620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 406262007620 in words is "four hundred six billion, two hundred sixty-two million, seven thousand, six hundred twenty".