406473563650700 has 576 divisors, whose sum is σ = 1151687037312000. Its totient is φ = 120918525235200.

The previous prime is 406473563650667. The next prime is 406473563650723. The reversal of 406473563650700 is 7056365374604.

It is a super-2 number, since 2×406473563650700² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24396700370 + ... + 24396717030.

It is an arithmetic number, because the mean of its divisors is an integer number (1999456662000).

Almost surely, 2^{406473563650700} 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 406473563650700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575843518656000).

406473563650700 is an abundant number, since it is smaller than the sum of its proper divisors (745213473661300).

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

406473563650700 is a wasteful number, since it uses less digits than its factorization.

406473563650700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17810 (or 17803 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 56.

The spelling of 406473563650700 in words is "four hundred six trillion, four hundred seventy-three billion, five hundred sixty-three million, six hundred fifty thousand, seven hundred".