1450419006120 has 256 divisors, whose sum is σ = 5198122944000. Its totient is φ = 323438008320.

The previous prime is 1450419006107. The next prime is 1450419006133. The reversal of 1450419006120 is 216009140541.

It is an interprime number because it is at equal distance from previous prime (1450419006107) and next prime (1450419006133).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257822 + ... + 2117298.

It is an arithmetic number, because the mean of its divisors is an integer number (20305167750).

Almost surely, 2^{1450419006120} is an apocalyptic number.

1450419006120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450419006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599061472000).

1450419006120 is an abundant number, since it is smaller than the sum of its proper divisors (3747703937880).

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

1450419006120 is a wasteful number, since it uses less digits than its factorization.

1450419006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859553 (or 859535 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1450419006120 in words is "one trillion, four hundred fifty billion, four hundred nineteen million, six thousand, one hundred twenty".