1354422420000 has 1440 divisors, whose sum is σ = 5392740120768. Its totient is φ = 320246784000.

The previous prime is 1354422419963. The next prime is 1354422420031. The reversal of 1354422420000 is 242244531.

1354422420000 is a `hidden beast` number, since 1 + 35 + 4 + 422 + 4 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8309339919 + ... + 8309340081.

Almost surely, 2^{1354422420000} is an apocalyptic number.

1354422420000 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 1354422420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696370060384).

1354422420000 is an abundant number, since it is smaller than the sum of its proper divisors (4038317700768).

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

1354422420000 is a wasteful number, since it uses less digits than its factorization.

1354422420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1354422420000 its reverse (242244531), we get a palindrome (1354664664531).

The spelling of 1354422420000 in words is "one trillion, three hundred fifty-four billion, four hundred twenty-two million, four hundred twenty thousand".