4130093629440 has 896 divisors, whose sum is σ = 15025057408800. Its totient is φ = 1089286963200.

The previous prime is 4130093629429. The next prime is 4130093629477. The reversal of 4130093629440 is 449263900314.

4130093629440 is a `hidden beast` number, since 4 + 13 + 0 + 0 + 9 + 3 + 629 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18035343246 + ... + 18035343474.

Almost surely, 2^{4130093629440} is an apocalyptic number.

4130093629440 is a gapful number since it is divisible by the number (40) 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 4130093629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512528704400).

4130093629440 is an abundant number, since it is smaller than the sum of its proper divisors (10894963779360).

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

4130093629440 is an frugal number, since it uses more digits than its factorization.

4130093629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4130093629440 in words is "four trillion, one hundred thirty billion, ninety-three million, six hundred twenty-nine thousand, four hundred forty".