407879001953280 has 4224 divisors, whose sum is σ = 1811307715176960. Its totient is φ = 83620433756160.

The previous prime is 407879001953219. The next prime is 407879001953321. The reversal of 407879001953280 is 82359100978704.

407879001953280 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 7 + 9 + 0 + 0 + 19 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1392078504814 + ... + 1392078505106.

It is an arithmetic number, because the mean of its divisors is an integer number (428813379540).

Almost surely, 2^{407879001953280} is an apocalyptic number.

407879001953280 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 407879001953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905653857588480).

407879001953280 is an abundant number, since it is smaller than the sum of its proper divisors (1403428713223680).

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

407879001953280 is a wasteful number, since it uses less digits than its factorization.

407879001953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 407879001953280 in words is "four hundred seven trillion, eight hundred seventy-nine billion, one million, nine hundred fifty-three thousand, two hundred eighty".