1354101303440 has 80 divisors (see below), whose sum is σ = 3172199185008. Its totient is φ = 537528680448.

The previous prime is 1354101303431. The next prime is 1354101303449. The reversal of 1354101303440 is 443031014531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1354101303431) and next prime (1354101303449).

It can be written as a sum of positive squares in 8 ways, for example, as 369211786384 + 984889517056 = 607628^2 + 992416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1354101303449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41554994 + ... + 41587566.

Almost surely, 2^{1354101303440} is an apocalyptic number.

1354101303440 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 1354101303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586099592504).

1354101303440 is an abundant number, since it is smaller than the sum of its proper divisors (1818097881568).

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

1354101303440 is a wasteful number, since it uses less digits than its factorization.

1354101303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36516 (or 36510 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 1354101303440 its reverse (443031014531), we get a palindrome (1797132317971).

The spelling of 1354101303440 in words is "one trillion, three hundred fifty-four billion, one hundred one million, three hundred three thousand, four hundred forty".