426451258375488 has 448 divisors, whose sum is σ = 1300753889541120. Its totient is φ = 136895828557824.

The previous prime is 426451258375481. The next prime is 426451258375501. The reversal of 426451258375488 is 884573852154624.

426451258375488 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 51 + 25 + 8 + 3 + 7 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426451258375481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5295714681 + ... + 5295795207.

It is an arithmetic number, because the mean of its divisors is an integer number (2903468503440).

Almost surely, 2^{426451258375488} is an apocalyptic number.

426451258375488 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 426451258375488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650376944770560).

426451258375488 is an abundant number, since it is smaller than the sum of its proper divisors (874302631165632).

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

426451258375488 is a wasteful number, since it uses less digits than its factorization.

426451258375488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81431 (or 81415 counting only the distinct ones).

The product of its digits is 2064384000, while the sum is 72.

The spelling of 426451258375488 in words is "four hundred twenty-six trillion, four hundred fifty-one billion, two hundred fifty-eight million, three hundred seventy-five thousand, four hundred eighty-eight".