409374255360 has 864 divisors, whose sum is σ = 1638792207360. Its totient is φ = 86552395776.

The previous prime is 409374255271. The next prime is 409374255383. The reversal of 409374255360 is 63552473904.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153725389 + ... + 153728051.

It is an arithmetic number, because the mean of its divisors is an integer number (1896750240).

Almost surely, 2^409374255360 is an apocalyptic number.

409374255360 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 409374255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819396103680).

409374255360 is an abundant number, since it is smaller than the sum of its proper divisors (1229417952000).

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

409374255360 is a wasteful number, since it uses less digits than its factorization.

409374255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 409374255360 in words is "four hundred nine billion, three hundred seventy-four million, two hundred fifty-five thousand, three hundred sixty".