4125219090993 has 384 divisors, whose sum is σ = 8849212968960. Its totient is φ = 1848115077120.

The previous prime is 4125219090977. The next prime is 4125219091001. The reversal of 4125219090993 is 3990909125214.

4125219090993 is a `hidden beast` number, since 412 + 5 + 219 + 0 + 9 + 0 + 9 + 9 + 3 = 666.

It is not a de Polignac number, because 4125219090993 - 2⁴ = 4125219090977 is a prime.

It is a super-2 number, since 2×4125219090993² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4125219090593) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 574779621 + ... + 574786797.

It is an arithmetic number, because the mean of its divisors is an integer number (23044825440).

Almost surely, 2^{4125219090993} is an apocalyptic number.

It is an amenable number.

4125219090993 is an abundant number, since it is smaller than the sum of its proper divisors (4723993877967).

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

4125219090993 is a wasteful number, since it uses less digits than its factorization.

4125219090993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 4125219090993 in words is "four trillion, one hundred twenty-five billion, two hundred nineteen million, ninety thousand, nine hundred ninety-three".