406749196266300 has 1152 divisors, whose sum is σ = 1390789703761920. Its totient is φ = 101867833267200.

The previous prime is 406749196266251. The next prime is 406749196266341. The reversal of 406749196266300 is 3662691947604.

406749196266300 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 491 + 96 + 26 + 6 + 30 + 0 = 666.

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, 64861932165 + ... + 64861938435.

It is an arithmetic number, because the mean of its divisors is an integer number (1207282728960).

Almost surely, 2^{406749196266300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406749196266300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695394851880960).

406749196266300 is an abundant number, since it is smaller than the sum of its proper divisors (984040507495620).

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

406749196266300 is a wasteful number, since it uses less digits than its factorization.

406749196266300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 406749196266300 in words is "four hundred six trillion, seven hundred forty-nine billion, one hundred ninety-six million, two hundred sixty-six thousand, three hundred".