406433361600 has 1512 divisors, whose sum is σ = 1838329803648. Its totient is φ = 84536524800.

The previous prime is 406433361599. The next prime is 406433361611. The reversal of 406433361600 is 6163334604.

406433361600 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 3 + 33 + 616 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 371850654 + ... + 371851746.

Almost surely, 2^406433361600 is an apocalyptic number.

406433361600 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 406433361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919164901824).

406433361600 is an abundant number, since it is smaller than the sum of its proper divisors (1431896442048).

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

406433361600 is a wasteful number, since it uses less digits than its factorization.

406433361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 406433361600 in words is "four hundred six billion, four hundred thirty-three million, three hundred sixty-one thousand, six hundred".