406165940730 has 160 divisors (see below), whose sum is σ = 1191919943808. Its totient is φ = 98423164800.

The previous prime is 406165940723. The next prime is 406165940743. The reversal of 406165940730 is 37049561604.

406165940730 is a `hidden beast` number, since 40 + 6 + 16 + 594 + 0 + 7 + 3 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24859644 + ... + 24875976.

Almost surely, 2^406165940730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406165940730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595959971904).

406165940730 is an abundant number, since it is smaller than the sum of its proper divisors (785754003078).

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

406165940730 is a wasteful number, since it uses less digits than its factorization.

406165940730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19154 (or 19145 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 406165940730 in words is "four hundred six billion, one hundred sixty-five million, nine hundred forty thousand, seven hundred thirty".