4534290144000 has 1728 divisors, whose sum is σ = 17832711536640. Its totient is φ = 1133927424000.

The previous prime is 4534290143947. The next prime is 4534290144047. The reversal of 4534290144000 is 4410924354.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35703071937 + ... + 35703072063.

Almost surely, 2^{4534290144000} is an apocalyptic number.

4534290144000 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 4534290144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916355768320).

4534290144000 is an abundant number, since it is smaller than the sum of its proper divisors (13298421392640).

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

4534290144000 is a wasteful number, since it uses less digits than its factorization.

4534290144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4534290144000 in words is "four trillion, five hundred thirty-four billion, two hundred ninety million, one hundred forty-four thousand".