407955682498560 has 1152 divisors, whose sum is σ = 1568315041413120. Its totient is φ = 90174770380800.

The previous prime is 407955682498543. The next prime is 407955682498561. The reversal of 407955682498560 is 65894286559704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407955682498561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99720282115 + ... + 99720286205.

It is an arithmetic number, because the mean of its divisors is an integer number (1361384584560).

Almost surely, 2^{407955682498560} is an apocalyptic number.

407955682498560 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 407955682498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784157520706560).

407955682498560 is an abundant number, since it is smaller than the sum of its proper divisors (1160359358914560).

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

407955682498560 is a wasteful number, since it uses less digits than its factorization.

407955682498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 78.

The spelling of 407955682498560 in words is "four hundred seven trillion, nine hundred fifty-five billion, six hundred eighty-two million, four hundred ninety-eight thousand, five hundred sixty".