406799511552 has 936 divisors, whose sum is σ = 1495532438400. Its totient is φ = 109860323328.

The previous prime is 406799511523. The next prime is 406799511553. The reversal of 406799511552 is 255115997604.

406799511552 is a `hidden beast` number, since 4 + 0 + 6 + 79 + 9 + 5 + 11 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406799511553) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 926650149 + ... + 926650587.

Almost surely, 2^406799511552 is an apocalyptic number.

406799511552 is a gapful number since it is divisible by the number (42) 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 406799511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747766219200).

406799511552 is an abundant number, since it is smaller than the sum of its proper divisors (1088732926848).

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

406799511552 is an equidigital number, since it uses as much as digits as its factorization.

406799511552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 406799511552 in words is "four hundred six billion, seven hundred ninety-nine million, five hundred eleven thousand, five hundred fifty-two".