406694542800 has 1920 divisors, whose sum is σ = 1809292197888. Its totient is φ = 75644928000.

The previous prime is 406694542799. The next prime is 406694542819. The reversal of 406694542800 is 8245496604.

It is a super-2 number, since 2×406694542800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 406694542800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2129290705 + ... + 2129290895.

Almost surely, 2^406694542800 is an apocalyptic number.

406694542800 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 406694542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904646098944).

406694542800 is an abundant number, since it is smaller than the sum of its proper divisors (1402597655088).

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

406694542800 is a wasteful number, since it uses less digits than its factorization.

406694542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 406694542800 in words is "four hundred six billion, six hundred ninety-four million, five hundred forty-two thousand, eight hundred".