427453401294528 has 1344 divisors, whose sum is σ = 1385794484305920. Its totient is φ = 113861305958400.

The previous prime is 427453401294509. The next prime is 427453401294547. The reversal of 427453401294528 is 825492104354724.

It is an interprime number because it is at equal distance from previous prime (427453401294509) and next prime (427453401294547).

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1210916150800 + ... + 1210916151152.

Almost surely, 2^{427453401294528} is an apocalyptic number.

427453401294528 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 427453401294528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692897242152960).

427453401294528 is an abundant number, since it is smaller than the sum of its proper divisors (958341083011392).

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

427453401294528 is a wasteful number, since it uses less digits than its factorization.

427453401294528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 427453401294528 in words is "four hundred twenty-seven trillion, four hundred fifty-three billion, four hundred one million, two hundred ninety-four thousand, five hundred twenty-eight".