4192425968640 has 1408 divisors, whose sum is σ = 16971845345280. Its totient is φ = 859850145792.

The previous prime is 4192425968623. The next prime is 4192425968693. The reversal of 4192425968640 is 468695242914.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8334842629 + ... + 8334843131.

Almost surely, 2^{4192425968640} is an apocalyptic number.

4192425968640 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 4192425968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485922672640).

4192425968640 is an abundant number, since it is smaller than the sum of its proper divisors (12779419376640).

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

4192425968640 is a wasteful number, since it uses less digits than its factorization.

4192425968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 4192425968640 in words is "four trillion, one hundred ninety-two billion, four hundred twenty-five million, nine hundred sixty-eight thousand, six hundred forty".