4355134209440 has 192 divisors, whose sum is σ = 12281183276544. Its totient is φ = 1426979524608.

The previous prime is 4355134209379. The next prime is 4355134209451. The reversal of 4355134209440 is 449024315534.

It is a super-2 number, since 2×4355134209440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4355134209391 and 4355134209400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28698242 + ... + 28849598.

It is an arithmetic number, because the mean of its divisors is an integer number (63964496232).

Almost surely, 2^{4355134209440} is an apocalyptic number.

4355134209440 is a gapful number since it is divisible by the number (40) 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 4355134209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140591638272).

4355134209440 is an abundant number, since it is smaller than the sum of its proper divisors (7926049067104).

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

4355134209440 is a wasteful number, since it uses less digits than its factorization.

4355134209440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152519 (or 152511 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 4355134209440 in words is "four trillion, three hundred fifty-five billion, one hundred thirty-four million, two hundred nine thousand, four hundred forty".