10239229440000 has 1950 divisors, whose sum is σ = 42328570774644. Its totient is φ = 2445189120000.

The previous prime is 10239229439833. The next prime is 10239229440019. The reversal of 10239229440000 is 4492293201.

10239229440000 is a `hidden beast` number, since 1 + 0 + 23 + 9 + 229 + 4 + 400 + 0 + 0 = 666.

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 149 ways as a sum of consecutive naturals, for example, 152824319967 + ... + 152824320033.

Almost surely, 2^{10239229440000} is an apocalyptic number.

10239229440000 is a gapful number since it is divisible by the number (10) 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 10239229440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21164285387322).

10239229440000 is an abundant number, since it is smaller than the sum of its proper divisors (32089341334644).

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

10239229440000 is an frugal number, since it uses more digits than its factorization.

10239229440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10239229440000 in words is "ten trillion, two hundred thirty-nine billion, two hundred twenty-nine million, four hundred forty thousand".