406235078172 has 384 divisors, whose sum is σ = 1405651968000. Its totient is φ = 98265623040.

The previous prime is 406235078167. The next prime is 406235078177. The reversal of 406235078172 is 271870532604.

406235078172 is a `hidden beast` number, since 4 + 0 + 62 + 3 + 507 + 81 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (406235078167) and next prime (406235078177).

It is a super-3 number, since 3×406235078172³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406235078177) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9300448 + ... + 9344024.

It is an arithmetic number, because the mean of its divisors is an integer number (3660552000).

Almost surely, 2^406235078172 is an apocalyptic number.

406235078172 is a gapful number since it is divisible by the number (42) 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 406235078172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702825984000).

406235078172 is an abundant number, since it is smaller than the sum of its proper divisors (999416889828).

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

406235078172 is a wasteful number, since it uses less digits than its factorization.

406235078172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43686 (or 43678 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 406235078172 in words is "four hundred six billion, two hundred thirty-five million, seventy-eight thousand, one hundred seventy-two".