1450353093840 has 480 divisors, whose sum is σ = 5862624768000. Its totient is φ = 313897835520.

The previous prime is 1450353093817. The next prime is 1450353093869. The reversal of 1450353093840 is 483903530541.

1450353093840 is a `hidden beast` number, since 1 + 4 + 503 + 53 + 0 + 93 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×1450353093840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315909945 + ... + 315914535.

It is an arithmetic number, because the mean of its divisors is an integer number (12213801600).

Almost surely, 2^{1450353093840} is an apocalyptic number.

1450353093840 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 1450353093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931312384000).

1450353093840 is an abundant number, since it is smaller than the sum of its proper divisors (4412271674160).

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

1450353093840 is a wasteful number, since it uses less digits than its factorization.

1450353093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1450353093840 in words is "one trillion, four hundred fifty billion, three hundred fifty-three million, ninety-three thousand, eight hundred forty".