4267729950480 has 400 divisors, whose sum is σ = 15443676255744. Its totient is φ = 1091051182080.

The previous prime is 4267729950457. The next prime is 4267729950487. The reversal of 4267729950480 is 840599277624.

4267729950480 is a `hidden beast` number, since 4 + 2 + 67 + 7 + 2 + 9 + 95 + 0 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (4267729950487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21394884 + ... + 21593436.

Almost surely, 2^{4267729950480} is an apocalyptic number.

4267729950480 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 4267729950480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721838127872).

4267729950480 is an abundant number, since it is smaller than the sum of its proper divisors (11175946305264).

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

4267729950480 is a wasteful number, since it uses less digits than its factorization.

4267729950480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198716 (or 198701 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 4267729950480 in words is "four trillion, two hundred sixty-seven billion, seven hundred twenty-nine million, nine hundred fifty thousand, four hundred eighty".