1450969873920 has 2160 divisors, whose sum is σ = 6362721853488. Its totient is φ = 316036546560.

The previous prime is 1450969873909. The next prime is 1450969874021. The reversal of 1450969873920 is 293789690541.

1450969873920 is a `hidden beast` number, since 1 + 4 + 509 + 6 + 98 + 7 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 33743485419 + ... + 33743485461.

It is a 1-persistent number, because it is pandigital, but 2⋅1450969873920 = 2901939747840 is not.

Almost surely, 2^{1450969873920} is an apocalyptic number.

1450969873920 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 1450969873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181360926744).

1450969873920 is an abundant number, since it is smaller than the sum of its proper divisors (4911751979568).

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

1450969873920 is an frugal number, since it uses more digits than its factorization.

1450969873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1450969873920 in words is "one trillion, four hundred fifty billion, nine hundred sixty-nine million, eight hundred seventy-three thousand, nine hundred twenty".