406944870750 has 1152 divisors, whose sum is σ = 1370284231680. Its totient is φ = 90012384000.

The previous prime is 406944870677. The next prime is 406944870751. The reversal of 406944870750 is 57078449604.

406944870750 is a `hidden beast` number, since 4 + 0 + 6 + 94 + 487 + 0 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406944870751) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4902950209 + ... + 4902950291.

It is an arithmetic number, because the mean of its divisors is an integer number (1189482840).

Almost surely, 2^406944870750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406944870750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685142115840).

406944870750 is an abundant number, since it is smaller than the sum of its proper divisors (963339360930).

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

406944870750 is a wasteful number, since it uses less digits than its factorization.

406944870750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 406944870750 in words is "four hundred six billion, nine hundred forty-four million, eight hundred seventy thousand, seven hundred fifty".