4077230976 has 768 divisors, whose sum is σ = 16039296000. Its totient is φ = 963477504.

The previous prime is 4077230939. The next prime is 4077230977. The reversal of 4077230976 is 6790327704.

It is a happy number.

4077230976 is a `hidden beast` number, since 407 + 7 + 230 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×4077230976³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077230977) 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, 45811540 + ... + 45811628.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 2^4077230976 is an apocalyptic number.

4077230976 is a gapful number since it is divisible by the number (46) 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 4077230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648000).

4077230976 is an abundant number, since it is smaller than the sum of its proper divisors (11962065024).

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

4077230976 is a wasteful number, since it uses less digits than its factorization.

4077230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 4077230976 is about 63853.1986356204. The cubic root of 4077230976 is about 1597.5523742812.

The spelling of 4077230976 in words is "four billion, seventy-seven million, two hundred thirty thousand, nine hundred seventy-six".