406881377280 has 1408 divisors, whose sum is σ = 1740310272000. Its totient is φ = 89292865536.

The previous prime is 406881377269. The next prime is 406881377291. The reversal of 406881377280 is 82773188604.

It is a happy number.

406881377280 is a `hidden beast` number, since 406 + 88 + 13 + 7 + 72 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (406881377269) and next prime (406881377291).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2273080231 + ... + 2273080409.

Almost surely, 2^406881377280 is an apocalyptic number.

406881377280 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 406881377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870155136000).

406881377280 is an abundant number, since it is smaller than the sum of its proper divisors (1333428894720).

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

406881377280 is an equidigital number, since it uses as much as digits as its factorization.

406881377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 406881377280 in words is "four hundred six billion, eight hundred eighty-one million, three hundred seventy-seven thousand, two hundred eighty".