5340402354000 has 640 divisors, whose sum is σ = 20122712064000. Its totient is φ = 1193090150400.

The previous prime is 5340402353989. The next prime is 5340402354017. The reversal of 5340402354000 is 4532040435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2070724711 + ... + 2070727289.

It is an arithmetic number, because the mean of its divisors is an integer number (31441737600).

Almost surely, 2^{5340402354000} is an apocalyptic number.

5340402354000 is a gapful number since it is divisible by the number (50) 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 5340402354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061356032000).

5340402354000 is an abundant number, since it is smaller than the sum of its proper divisors (14782309710000).

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

5340402354000 is a wasteful number, since it uses less digits than its factorization.

5340402354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 5340402354000 its reverse (4532040435), we get a palindrome (5344934394435).

The spelling of 5340402354000 in words is "five trillion, three hundred forty billion, four hundred two million, three hundred fifty-four thousand".