201386374558040 has 256 divisors, whose sum is σ = 528366819052800. Its totient is φ = 67661267337216.

The previous prime is 201386374557947. The next prime is 201386374558051. The reversal of 201386374558040 is 40855473683102.

201386374558040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1447368314 + ... + 1447507446.

It is an arithmetic number, because the mean of its divisors is an integer number (2063932886925).

Almost surely, 2^{201386374558040} is an apocalyptic number.

201386374558040 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 201386374558040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264183409526400).

201386374558040 is an abundant number, since it is smaller than the sum of its proper divisors (326980444494760).

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

201386374558040 is a wasteful number, since it uses less digits than its factorization.

201386374558040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139774 (or 139770 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 201386374558040 in words is "two hundred one trillion, three hundred eighty-six billion, three hundred seventy-four million, five hundred fifty-eight thousand, forty".