406322546261040 has 480 divisors, whose sum is σ = 1390891841224704. Its totient is φ = 106278633861120.

The previous prime is 406322546261017. The next prime is 406322546261041. The reversal of 406322546261040 is 40162645223604.

It is a happy number.

406322546261040 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 2 + 2 + 5 + 4 + 626 + 10 + 4 + 0 = 666.

It is a super-3 number, since 3×406322546261040³ (a number of 45 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (406322546261041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18957790164 + ... + 18957811596.

Almost surely, 2^{406322546261040} is an apocalyptic number.

406322546261040 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 406322546261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695445920612352).

406322546261040 is an abundant number, since it is smaller than the sum of its proper divisors (984569294963664).

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

406322546261040 is a wasteful number, since it uses less digits than its factorization.

406322546261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23409 (or 23400 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 406322546261040 in words is "four hundred six trillion, three hundred twenty-two billion, five hundred forty-six million, two hundred sixty-one thousand, forty".