4196981376 has 384 divisors, whose sum is σ = 14474403840. Its totient is φ = 1142138880.

The previous prime is 4196981357. The next prime is 4196981381. The reversal of 4196981376 is 6731896914.

4196981376 is a `hidden beast` number, since 4 + 196 + 9 + 81 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4196981376² = 35229305340981706752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1959552) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25748271 + ... + 25748433.

It is an arithmetic number, because the mean of its divisors is an integer number (37693760).

Almost surely, 2^4196981376 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 4196981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237201920).

4196981376 is an abundant number, since it is smaller than the sum of its proper divisors (10277422464).

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

4196981376 is a wasteful number, since it uses less digits than its factorization.

4196981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 4196981376 is about 64784.1136081987. The cubic root of 4196981376 is about 1613.0420189054.

The spelling of 4196981376 in words is "four billion, one hundred ninety-six million, nine hundred eighty-one thousand, three hundred seventy-six".