10214132424000 has 448 divisors, whose sum is σ = 34094954529792. Its totient is φ = 2694113280000.

The previous prime is 10214132423977. The next prime is 10214132424049. The reversal of 10214132424000 is 42423141201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4016566729 + ... + 4016569271.

Almost surely, 2^{10214132424000} is an apocalyptic number.

10214132424000 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 10214132424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047477264896).

10214132424000 is an abundant number, since it is smaller than the sum of its proper divisors (23880822105792).

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

10214132424000 is a wasteful number, since it uses less digits than its factorization.

10214132424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10214132424000 its reverse (42423141201), we get a palindrome (10256555565201).

The spelling of 10214132424000 in words is "ten trillion, two hundred fourteen billion, one hundred thirty-two million, four hundred twenty-four thousand".