4156979276800 has 264 divisors, whose sum is σ = 11937670953056. Its totient is φ = 1405721640960.

The previous prime is 4156979276789. The next prime is 4156979276803. The reversal of 4156979276800 is 86729796514.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (4156979276803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12922714 + ... + 13240486.

Almost surely, 2^{4156979276800} is an apocalyptic number.

4156979276800 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 4156979276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968835476528).

4156979276800 is an abundant number, since it is smaller than the sum of its proper divisors (7780691676256).

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

4156979276800 is a wasteful number, since it uses less digits than its factorization.

4156979276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317883 (or 317860 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 4156979276800 in words is "four trillion, one hundred fifty-six billion, nine hundred seventy-nine million, two hundred seventy-six thousand, eight hundred".