4538634240000 has 1280 divisors, whose sum is σ = 17669133567360. Its totient is φ = 1014497280000.

The previous prime is 4538634239989. The next prime is 4538634240011. The reversal of 4538634240000 is 424368354.

It is an interprime number because it is at equal distance from previous prime (4538634239989) and next prime (4538634240011).

It is a tau number, because it is divible by the number of its divisors (1280).

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, 26234879914 + ... + 26234880086.

Almost surely, 2^{4538634240000} is an apocalyptic number.

4538634240000 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 4538634240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834566783680).

4538634240000 is an abundant number, since it is smaller than the sum of its proper divisors (13130499327360).

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

4538634240000 is an frugal number, since it uses more digits than its factorization.

4538634240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 4538634240000 in words is "four trillion, five hundred thirty-eight billion, six hundred thirty-four million, two hundred forty thousand".