1454440428000 has 768 divisors, whose sum is σ = 6191319214080. Its totient is φ = 324705024000.

The previous prime is 1454440427989. The next prime is 1454440428121. The reversal of 1454440428000 is 8240444541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32485630 + ... + 32530370.

It is an arithmetic number, because the mean of its divisors is an integer number (8061613560).

Almost surely, 2^{1454440428000} is an apocalyptic number.

1454440428000 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 1454440428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095659607040).

1454440428000 is an abundant number, since it is smaller than the sum of its proper divisors (4736878786080).

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

1454440428000 is a wasteful number, since it uses less digits than its factorization.

1454440428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44825 (or 44801 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 1454440428000 in words is "one trillion, four hundred fifty-four billion, four hundred forty million, four hundred twenty-eight thousand".