201441503429376 has 1152 divisors, whose sum is σ = 678421404057600. Its totient is φ = 51736353177600.

The previous prime is 201441503429317. The next prime is 201441503429389. The reversal of 201441503429376 is 673924305144102.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 103250385201 + ... + 103250387151.

It is an arithmetic number, because the mean of its divisors is an integer number (588907468800).

Almost surely, 2^{201441503429376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201441503429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339210702028800).

201441503429376 is an abundant number, since it is smaller than the sum of its proper divisors (476979900628224).

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

201441503429376 is a wasteful number, since it uses less digits than its factorization.

201441503429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 201441503429376 in words is "two hundred one trillion, four hundred forty-one billion, five hundred three million, four hundred twenty-nine thousand, three hundred seventy-six".