406989115315200 has 2772 divisors, whose sum is σ = 1705846253298624. Its totient is φ = 95435034624000.

The previous prime is 406989115315199. The next prime is 406989115315267. The reversal of 406989115315200 is 2513511989604.

406989115315200 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 8 + 9 + 115 + 315 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 197280229369 + ... + 197280231431.

Almost surely, 2^{406989115315200} is an apocalyptic number.

406989115315200 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 406989115315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852923126649312).

406989115315200 is an abundant number, since it is smaller than the sum of its proper divisors (1298857137983424).

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

406989115315200 is a wasteful number, since it uses less digits than its factorization.

406989115315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 406989115315200 in words is "four hundred six trillion, nine hundred eighty-nine billion, one hundred fifteen million, three hundred fifteen thousand, two hundred".