426657238892640 has 1152 divisors, whose sum is σ = 1706886429760512. Its totient is φ = 95032942018560.

The previous prime is 426657238892593. The next prime is 426657238892657. The reversal of 426657238892640 is 46298832756624.

426657238892640 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 57 + 238 + 89 + 264 + 0 = 666.

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

It is a congruent number.

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, 58954983102 + ... + 58954990338.

It is an arithmetic number, because the mean of its divisors is an integer number (1481672248056).

Almost surely, 2^{426657238892640} is an apocalyptic number.

426657238892640 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 426657238892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853443214880256).

426657238892640 is an abundant number, since it is smaller than the sum of its proper divisors (1280229190867872).

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

426657238892640 is a wasteful number, since it uses less digits than its factorization.

426657238892640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 426657238892640 in words is "four hundred twenty-six trillion, six hundred fifty-seven billion, two hundred thirty-eight million, eight hundred ninety-two thousand, six hundred forty".