10424191008000 has 3456 divisors, whose sum is σ = 48366515957760. Its totient is φ = 1958584320000.

The previous prime is 10424191007921. The next prime is 10424191008083. The reversal of 10424191008000 is 80019142401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22612127770 + ... + 22612128230.

It is an arithmetic number, because the mean of its divisors is an integer number (13994940960).

Almost surely, 2^{10424191008000} is an apocalyptic number.

10424191008000 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 10424191008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24183257978880).

10424191008000 is an abundant number, since it is smaller than the sum of its proper divisors (37942324949760).

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

10424191008000 is a wasteful number, since it uses less digits than its factorization.

10424191008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 10424191008000 in words is "ten trillion, four hundred twenty-four billion, one hundred ninety-one million, eight thousand".