1450383340100 has 72 divisors (see below), whose sum is σ = 3154152449448. Its totient is φ = 578897510400.

The previous prime is 1450383340079. The next prime is 1450383340151. The reversal of 1450383340100 is 10433830541.

It can be written as a sum of positive squares in 12 ways, for example, as 133686759424 + 1316696580676 = 365632^2 + 1147474^2 .

It is a super-2 number, since 2×1450383340100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90999332 + ... + 91015268.

It is an arithmetic number, because the mean of its divisors is an integer number (43807672909).

Almost surely, 2^{1450383340100} is an apocalyptic number.

1450383340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450383340100 is an abundant number, since it is smaller than the sum of its proper divisors (1703769109348).

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

1450383340100 is a wasteful number, since it uses less digits than its factorization.

1450383340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17865 (or 17858 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 1450383340100 in words is "one trillion, four hundred fifty billion, three hundred eighty-three million, three hundred forty thousand, one hundred".