4139976960 has 576 divisors, whose sum is σ = 17051865600. Its totient is φ = 931627008.

The previous prime is 4139976943. The next prime is 4139976979. The reversal of 4139976960 is 696799314.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4139976897 and 4139976906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26369202 + ... + 26369358.

Almost surely, 2^4139976960 is an apocalyptic number.

4139976960 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 4139976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525932800).

4139976960 is an abundant number, since it is smaller than the sum of its proper divisors (12911888640).

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

4139976960 is a wasteful number, since it uses less digits than its factorization.

4139976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 4139976960 is about 64342.6527274094. The cubic root of 4139976960 is about 1605.7057949196.

The spelling of 4139976960 in words is "four billion, one hundred thirty-nine million, nine hundred seventy-six thousand, nine hundred sixty".