407960740512 has 384 divisors, whose sum is σ = 1318680599040. Its totient is φ = 123451776000.

The previous prime is 407960740511. The next prime is 407960740513. The reversal of 407960740512 is 215047069704.

407960740512 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 60 + 74 + 0 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (407960740511) and next prime (407960740513).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (407960740511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55493637 + ... + 55500987.

It is an arithmetic number, because the mean of its divisors is an integer number (3434064060).

Almost surely, 2^407960740512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407960740512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659340299520).

407960740512 is an abundant number, since it is smaller than the sum of its proper divisors (910719858528).

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

407960740512 is an equidigital number, since it uses as much as digits as its factorization.

407960740512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 407960740512 in words is "four hundred seven billion, nine hundred sixty million, seven hundred forty thousand, five hundred twelve".