4076916480 has 432 divisors, whose sum is σ = 17365333440. Its totient is φ = 859963392.

The previous prime is 4076916449. The next prime is 4076916511. The reversal of 4076916480 is 846196704.

4076916480 is a `hidden beast` number, since 407 + 6 + 9 + 164 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4076916449) and next prime (4076916511).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

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, 1046376 + ... + 1050264.

Almost surely, 2^4076916480 is an apocalyptic number.

4076916480 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 4076916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682666720).

4076916480 is an abundant number, since it is smaller than the sum of its proper divisors (13288416960).

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

4076916480 is a wasteful number, since it uses less digits than its factorization.

4076916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4076916480 is about 63850.7359393766. The cubic root of 4076916480 is about 1597.5112976491.

The spelling of 4076916480 in words is "four billion, seventy-six million, nine hundred sixteen thousand, four hundred eighty".