1354030491840 has 448 divisors, whose sum is σ = 4674215777280. Its totient is φ = 330110484480.

The previous prime is 1354030491817. The next prime is 1354030491859. The reversal of 1354030491840 is 481940304531.

It is a super-3 number, since 3×1354030491840³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1354030491792 and 1354030491801.

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, 1094607702 + ... + 1094608938.

It is an arithmetic number, because the mean of its divisors is an integer number (10433517360).

Almost surely, 2^{1354030491840} is an apocalyptic number.

1354030491840 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 1354030491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337107888640).

1354030491840 is an abundant number, since it is smaller than the sum of its proper divisors (3320185285440).

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

1354030491840 is a wasteful number, since it uses less digits than its factorization.

1354030491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1354030491840 in words is "one trillion, three hundred fifty-four billion, thirty million, four hundred ninety-one thousand, eight hundred forty".