406615826400 has 288 divisors, whose sum is σ = 1513300642560. Its totient is φ = 92898385920.

The previous prime is 406615826399. The next prime is 406615826423. The reversal of 406615826400 is 4628516604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50715192 + ... + 50723208.

It is an arithmetic number, because the mean of its divisors is an integer number (5254516120).

Almost surely, 2^406615826400 is an apocalyptic number.

406615826400 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 406615826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756650321280).

406615826400 is an abundant number, since it is smaller than the sum of its proper divisors (1106684816160).

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

406615826400 is a wasteful number, since it uses less digits than its factorization.

406615826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 406615826400 in words is "four hundred six billion, six hundred fifteen million, eight hundred twenty-six thousand, four hundred".