1434438720000 has 2800 divisors, whose sum is σ = 6455186404128. Its totient is φ = 313528320000.

The previous prime is 1434438719993. The next prime is 1434438720019. The reversal of 1434438720000 is 278344341.

1434438720000 is a `hidden beast` number, since 1 + 4 + 3 + 443 + 8 + 7 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×1434438720000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 33359039979 + ... + 33359040021.

Almost surely, 2^{1434438720000} is an apocalyptic number.

1434438720000 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 1434438720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227593202064).

1434438720000 is an abundant number, since it is smaller than the sum of its proper divisors (5020747684128).

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

1434438720000 is an frugal number, since it uses more digits than its factorization.

1434438720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1434438720000 in words is "one trillion, four hundred thirty-four billion, four hundred thirty-eight million, seven hundred twenty thousand".