407687241612 has 144 divisors (see below), whose sum is σ = 1155187353600. Its totient is φ = 111369823488.

The previous prime is 407687241593. The next prime is 407687241631. The reversal of 407687241612 is 216142786704.

It is an interprime number because it is at equal distance from previous prime (407687241593) and next prime (407687241631).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41229733 + ... + 41239619.

It is an arithmetic number, because the mean of its divisors is an integer number (8022134400).

Almost surely, 2^407687241612 is an apocalyptic number.

407687241612 is a gapful number since it is divisible by the number (42) 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 407687241612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577593676800).

407687241612 is an abundant number, since it is smaller than the sum of its proper divisors (747500111988).

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

407687241612 is a wasteful number, since it uses less digits than its factorization.

407687241612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12980 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 407687241612 in words is "four hundred seven billion, six hundred eighty-seven million, two hundred forty-one thousand, six hundred twelve".