201201353415440 has 80 divisors (see below), whose sum is σ = 566069017871232. Its totient is φ = 64925478746112.

The previous prime is 201201353415437. The next prime is 201201353415451. The reversal of 201201353415440 is 44514353102102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 201201353415440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10567288454 + ... + 10567307493.

Almost surely, 2^{201201353415440} is an apocalyptic number.

201201353415440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201353415440 is an abundant number, since it is smaller than the sum of its proper divisors (364867664455792).

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

201201353415440 is a wasteful number, since it uses less digits than its factorization.

201201353415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21134595984 (or 21134595978 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 201201353415440 in words is "two hundred one trillion, two hundred one billion, three hundred fifty-three million, four hundred fifteen thousand, four hundred forty".