406545750000 has 1120 divisors, whose sum is σ = 1623410470080. Its totient is φ = 96768000000.

The previous prime is 406545749983. The next prime is 406545750019. The reversal of 406545750000 is 57545604.

It is a happy number.

406545750000 is a `hidden beast` number, since 40 + 6 + 545 + 75 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3597749944 + ... + 3597750056.

It is an arithmetic number, because the mean of its divisors is an integer number (1449473634).

Almost surely, 2^406545750000 is an apocalyptic number.

406545750000 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 406545750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811705235040).

406545750000 is an abundant number, since it is smaller than the sum of its proper divisors (1216864720080).

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

406545750000 is a wasteful number, since it uses less digits than its factorization.

406545750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 406545750000 in words is "four hundred six billion, five hundred forty-five million, seven hundred fifty thousand".