102050244461440 has 128 divisors (see below), whose sum is σ = 266909386273920. Its totient is φ = 37002236037120.

The previous prime is 102050244461419. The next prime is 102050244461441. The reversal of 102050244461440 is 44164442050201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 102050244461440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102050244461441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18444402 + ... + 23330161.

It is an arithmetic number, because the mean of its divisors is an integer number (2085229580265).

Almost surely, 2^{102050244461440} is an apocalyptic number.

102050244461440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102050244461440 is an abundant number, since it is smaller than the sum of its proper divisors (164859141812480).

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

102050244461440 is a wasteful number, since it uses less digits than its factorization.

102050244461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41774940 (or 41774928 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 102050244461440 in words is "one hundred two trillion, fifty billion, two hundred forty-four million, four hundred sixty-one thousand, four hundred forty".