406181192802 has 240 divisors, whose sum is σ = 1046943532800. Its totient is φ = 104746931520.

The previous prime is 406181192779. The next prime is 406181192827. The reversal of 406181192802 is 208291181604.

It is a super-2 number, since 2×406181192802² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 847977199 + ... + 847977677.

It is an arithmetic number, because the mean of its divisors is an integer number (4362264720).

Almost surely, 2^406181192802 is an apocalyptic number.

406181192802 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 406181192802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523471766400).

406181192802 is an abundant number, since it is smaller than the sum of its proper divisors (640762339998).

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

406181192802 is a wasteful number, since it uses less digits than its factorization.

406181192802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 406181192802 in words is "four hundred six billion, one hundred eighty-one million, one hundred ninety-two thousand, eight hundred two".