407197668941280 has 576 divisors, whose sum is σ = 1637017422243840. Its totient is φ = 90242108301312.

The previous prime is 407197668941279. The next prime is 407197668941281. The reversal of 407197668941280 is 82149866791704.

407197668941280 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 9 + 76 + 68 + 9 + 412 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (407197668941279) and next prime (407197668941281).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 407197668941199 and 407197668941208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407197668941281) 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, 46675956 + ... + 54708684.

It is an arithmetic number, because the mean of its divisors is an integer number (2842044135840).

Almost surely, 2^{407197668941280} is an apocalyptic number.

407197668941280 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 407197668941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818508711121920).

407197668941280 is an abundant number, since it is smaller than the sum of its proper divisors (1229819753302560).

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

407197668941280 is a wasteful number, since it uses less digits than its factorization.

407197668941280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032911 (or 8032900 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 407197668941280 in words is "four hundred seven trillion, one hundred ninety-seven billion, six hundred sixty-eight million, nine hundred forty-one thousand, two hundred eighty".