7450105641000 has 384 divisors, whose sum is σ = 25721212608000. Its totient is φ = 1793951808000.

The previous prime is 7450105640977. The next prime is 7450105641001. The reversal of 7450105641000 is 1465010547.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7450105641001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54018129 + ... + 54155871.

It is an arithmetic number, because the mean of its divisors is an integer number (66982324500).

Almost surely, 2^{7450105641000} 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 7450105641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860606304000).

7450105641000 is an abundant number, since it is smaller than the sum of its proper divisors (18271106967000).

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

7450105641000 is a wasteful number, since it uses less digits than its factorization.

7450105641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137938 (or 137913 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 7450105641000 in words is "seven trillion, four hundred fifty billion, one hundred five million, six hundred forty-one thousand".