201283426078000 has 640 divisors, whose sum is σ = 605299758336000. Its totient is φ = 64484163072000.

The previous prime is 201283426077989. The next prime is 201283426078069. The reversal of 201283426078000 is 870624382102.

It is a super-2 number, since 2×201283426078000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1620955915 + ... + 1621080085.

It is an arithmetic number, because the mean of its divisors is an integer number (945780872400).

Almost surely, 2^{201283426078000} is an apocalyptic number.

201283426078000 is a gapful number since it is divisible by the number (20) 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 201283426078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302649879168000).

201283426078000 is an abundant number, since it is smaller than the sum of its proper divisors (404016332258000).

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

201283426078000 is a wasteful number, since it uses less digits than its factorization.

201283426078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124371 (or 124341 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 201283426078000 in words is "two hundred one trillion, two hundred eighty-three billion, four hundred twenty-six million, seventy-eight thousand".