4257634092480 has 336 divisors, whose sum is σ = 15286391437824. Its totient is φ = 1085636597760.

The previous prime is 4257634092479. The next prime is 4257634092521. The reversal of 4257634092480 is 842904367524.

It is a happy number.

4257634092480 is a `hidden beast` number, since 4 + 2 + 5 + 76 + 3 + 4 + 0 + 92 + 480 = 666.

4257634092480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 232559487 + ... + 232577793.

Almost surely, 2^{4257634092480} is an apocalyptic number.

4257634092480 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 4257634092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643195718912).

4257634092480 is an abundant number, since it is smaller than the sum of its proper divisors (11028757345344).

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

4257634092480 is a wasteful number, since it uses less digits than its factorization.

4257634092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21864 (or 21851 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4257634092480 in words is "four trillion, two hundred fifty-seven billion, six hundred thirty-four million, ninety-two thousand, four hundred eighty".