406777433400 has 576 divisors, whose sum is σ = 1552919877600. Its totient is φ = 94595973120.

The previous prime is 406777433393. The next prime is 406777433407. The reversal of 406777433400 is 4334777604.

It is an interprime number because it is at equal distance from previous prime (406777433393) and next prime (406777433407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406777433407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192510744 + ... + 192512856.

Almost surely, 2^406777433400 is an apocalyptic number.

406777433400 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 406777433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776459938800).

406777433400 is an abundant number, since it is smaller than the sum of its proper divisors (1146142444200).

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

406777433400 is a wasteful number, since it uses less digits than its factorization.

406777433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 406777433400 in words is "four hundred six billion, seven hundred seventy-seven million, four hundred thirty-three thousand, four hundred".