201007426158000 has 2880 divisors, whose sum is σ = 905925667046400. Its totient is φ = 40638495744000.

The previous prime is 201007426157983. The next prime is 201007426158023. The reversal of 201007426158000 is 851624700102.

201007426158000 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 74 + 2 + 6 + 1 + 580 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 248464061596 + ... + 248464062404.

It is an arithmetic number, because the mean of its divisors is an integer number (314557523280).

Almost surely, 2^{201007426158000} is an apocalyptic number.

201007426158000 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 201007426158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452962833523200).

201007426158000 is an abundant number, since it is smaller than the sum of its proper divisors (704918240888400).

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

201007426158000 is a wasteful number, since it uses less digits than its factorization.

201007426158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 201007426158000 in words is "two hundred one trillion, seven billion, four hundred twenty-six million, one hundred fifty-eight thousand".