407911488768 has 216 divisors, whose sum is σ = 1344716662016. Its totient is φ = 116494848000.

The previous prime is 407911488767. The next prime is 407911488781. The reversal of 407911488768 is 867884119704.

407911488768 is a `hidden beast` number, since 4 + 0 + 7 + 91 + 1 + 488 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407911488763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51299193 + ... + 51307143.

Almost surely, 2^407911488768 is an apocalyptic number.

407911488768 is a gapful number since it is divisible by the number (48) 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 407911488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672358331008).

407911488768 is an abundant number, since it is smaller than the sum of its proper divisors (936805173248).

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

407911488768 is a wasteful number, since it uses less digits than its factorization.

407911488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11144 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 407911488768 in words is "four hundred seven billion, nine hundred eleven million, four hundred eighty-eight thousand, seven hundred sixty-eight".