426842460000 has 1200 divisors, whose sum is σ = 1813217147280. Its totient is φ = 97320960000.

The previous prime is 426842459999. The next prime is 426842460001. The reversal of 426842460000 is 64248624.

It is a happy number.

426842460000 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 42 + 4 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426842459999) and next prime (426842460001).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×426842460000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426842460001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 302939296 + ... + 302940704.

Almost surely, 2^426842460000 is an apocalyptic number.

426842460000 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 426842460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906608573640).

426842460000 is an abundant number, since it is smaller than the sum of its proper divisors (1386374687280).

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

426842460000 is a wasteful number, since it uses less digits than its factorization.

426842460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 426842460000 in words is "four hundred twenty-six billion, eight hundred forty-two million, four hundred sixty thousand".