4534415040000 has 800 divisors, whose sum is σ = 15876992736000. Its totient is φ = 1147396096000.

The previous prime is 4534415039981. The next prime is 4534415040011. The reversal of 4534415040000 is 405144354.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4534415040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3024959251 + ... + 3024960749.

It is an arithmetic number, because the mean of its divisors is an integer number (19846240920).

Almost surely, 2^{4534415040000} is an apocalyptic number.

4534415040000 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 4534415040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938496368000).

4534415040000 is an abundant number, since it is smaller than the sum of its proper divisors (11342577696000).

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

4534415040000 is a wasteful number, since it uses less digits than its factorization.

4534415040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 4534415040000 in words is "four trillion, five hundred thirty-four billion, four hundred fifteen million, forty thousand".