4196957785920 has 672 divisors, whose sum is σ = 16094284905600. Its totient is φ = 1028831182848.

The previous prime is 4196957785883. The next prime is 4196957785921. The reversal of 4196957785920 is 295877596914.

4196957785920 is a `hidden beast` number, since 41 + 9 + 6 + 9 + 577 + 8 + 5 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×4196957785920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196957785921) 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, 107349736 + ... + 107388824.

Almost surely, 2^{4196957785920} is an apocalyptic number.

4196957785920 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 4196957785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047142452800).

4196957785920 is an abundant number, since it is smaller than the sum of its proper divisors (11897327119680).

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

4196957785920 is a wasteful number, since it uses less digits than its factorization.

4196957785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39192 (or 39159 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 4196957785920 in words is "four trillion, one hundred ninety-six billion, nine hundred fifty-seven million, seven hundred eighty-five thousand, nine hundred twenty".