406176419040 has 384 divisors, whose sum is σ = 1477215387648. Its totient is φ = 91892828160.

The previous prime is 406176419017. The next prime is 406176419053. The reversal of 406176419040 is 40914671604.

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

It is a junction number, because it is equal to n+sod(n) for n = 406176418983 and 406176419001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243656287 + ... + 243657953.

It is an arithmetic number, because the mean of its divisors is an integer number (3846915072).

Almost surely, 2^406176419040 is an apocalyptic number.

406176419040 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 406176419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738607693824).

406176419040 is an abundant number, since it is smaller than the sum of its proper divisors (1071038968608).

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

406176419040 is a wasteful number, since it uses less digits than its factorization.

406176419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

It can be divided in two parts, 4061764 and 19040, that added together give a palindrome (4080804).

The spelling of 406176419040 in words is "four hundred six billion, one hundred seventy-six million, four hundred nineteen thousand, forty".