10201414444320 has 96 divisors (see below), whose sum is σ = 35055769654080. Its totient is φ = 2473070167040.

The previous prime is 10201414444289. The next prime is 10201414444447. The reversal of 10201414444320 is 2344441410201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 966037755 + ... + 966048314.

It is an arithmetic number, because the mean of its divisors is an integer number (365164267230).

Almost surely, 2^{10201414444320} is an apocalyptic number.

10201414444320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201414444320 is an abundant number, since it is smaller than the sum of its proper divisors (24854355209760).

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

10201414444320 is a wasteful number, since it uses less digits than its factorization.

10201414444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932086098 (or 1932086090 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10201414444320 its reverse (2344441410201), we get a palindrome (12545855854521).

The spelling of 10201414444320 in words is "ten trillion, two hundred one billion, four hundred fourteen million, four hundred forty-four thousand, three hundred twenty".