407234886144 has 80 divisors (see below), whose sum is σ = 1085411904192. Its totient is φ = 135680811008.

The previous prime is 407234886139. The next prime is 407234886167. The reversal of 407234886144 is 441688432704.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3245437 + ... + 3368579.

Almost surely, 2^407234886144 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 407234886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542705952096).

407234886144 is an abundant number, since it is smaller than the sum of its proper divisors (678177018048).

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

407234886144 is a wasteful number, since it uses less digits than its factorization.

407234886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125317 (or 125301 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 407234886144 in words is "four hundred seven billion, two hundred thirty-four million, eight hundred eighty-six thousand, one hundred forty-four".