201583862379840 has 448 divisors, whose sum is σ = 693722933648640. Its totient is φ = 49426873712640.

The previous prime is 201583862379797. The next prime is 201583862379841. The reversal of 201583862379840 is 48973268385102.

201583862379840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201583862379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143634792 + ... + 145031448.

It is an arithmetic number, because the mean of its divisors is an integer number (1548488691180).

It is a 3-persistent number, because k⋅201583862379840 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{201583862379840} is an apocalyptic number.

201583862379840 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 201583862379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346861466824320).

201583862379840 is an abundant number, since it is smaller than the sum of its proper divisors (492139071268800).

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

201583862379840 is a wasteful number, since it uses less digits than its factorization.

201583862379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396930 (or 1396920 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 201583862379840 in words is "two hundred one trillion, five hundred eighty-three billion, eight hundred sixty-two million, three hundred seventy-nine thousand, eight hundred forty".