201010719290640 has 640 divisors, whose sum is σ = 751941729792000. Its totient is φ = 44372508364800.

The previous prime is 201010719290639. The next prime is 201010719290651. The reversal of 201010719290640 is 46092917010102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 201010719290592 and 201010719290601.

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, 314719615 + ... + 315357665.

It is an arithmetic number, because the mean of its divisors is an integer number (1174908952800).

Almost surely, 2^{201010719290640} is an apocalyptic number.

201010719290640 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 201010719290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375970864896000).

201010719290640 is an abundant number, since it is smaller than the sum of its proper divisors (550931010501360).

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

201010719290640 is a wasteful number, since it uses less digits than its factorization.

201010719290640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638220 (or 638200 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 201010719290640 in words is "two hundred one trillion, ten billion, seven hundred nineteen million, two hundred ninety thousand, six hundred forty".