4290713296128 has 1080 divisors, whose sum is σ = 15384961557504. Its totient is φ = 1185137049600.

The previous prime is 4290713296123. The next prime is 4290713296147. The reversal of 4290713296128 is 8216923170924.

4290713296128 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 7 + 13 + 2 + 9 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290713296123) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 5290644843 + ... + 5290645653.

Almost surely, 2^{4290713296128} is an apocalyptic number.

4290713296128 is a gapful number since it is divisible by the number (48) 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 4290713296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692480778752).

4290713296128 is an abundant number, since it is smaller than the sum of its proper divisors (11094248261376).

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

4290713296128 is a wasteful number, since it uses less digits than its factorization.

4290713296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4290713296128 in words is "four trillion, two hundred ninety billion, seven hundred thirteen million, two hundred ninety-six thousand, one hundred twenty-eight".