406905422400 has 672 divisors, whose sum is σ = 1546829032320. Its totient is φ = 103959797760.

The previous prime is 406905422381. The next prime is 406905422419. The reversal of 406905422400 is 4224509604.

406905422400 is a `hidden beast` number, since 4 + 0 + 6 + 90 + 542 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406905422381) and next prime (406905422419).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98450734 + ... + 98454866.

Almost surely, 2^406905422400 is an apocalyptic number.

406905422400 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 406905422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773414516160).

406905422400 is an abundant number, since it is smaller than the sum of its proper divisors (1139923609920).

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

406905422400 is a wasteful number, since it uses less digits than its factorization.

406905422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 406905422400 in words is "four hundred six billion, nine hundred five million, four hundred twenty-two thousand, four hundred".