4282138152500 has 240 divisors, whose sum is σ = 10200974843136. Its totient is φ = 1562932800000.

The previous prime is 4282138152371. The next prime is 4282138152517. The reversal of 4282138152500 is 52518312824.

It is a super-2 number, since 2×4282138152500² (a number of 26 digits) contains 22 as substring.

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, 1179325685 + ... + 1179329315.

Almost surely, 2^{4282138152500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282138152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100487421568).

4282138152500 is an abundant number, since it is smaller than the sum of its proper divisors (5918836690636).

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

4282138152500 is a wasteful number, since it uses less digits than its factorization.

4282138152500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 4282138152500 in words is "four trillion, two hundred eighty-two billion, one hundred thirty-eight million, one hundred fifty-two thousand, five hundred".