4016762880 has 416 divisors, whose sum is σ = 14267280384. Its totient is φ = 958660608.

The previous prime is 4016762879. The next prime is 4016762891. The reversal of 4016762880 is 882676104.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×4016762880² = 32268768068291788800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37539787 + ... + 37539893.

Almost surely, 2^4016762880 is an apocalyptic number.

4016762880 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 4016762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133640192).

4016762880 is an abundant number, since it is smaller than the sum of its proper divisors (10250517504).

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

4016762880 is a wasteful number, since it uses less digits than its factorization.

4016762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4016762880 is about 63377.9368550287. The cubic root of 4016762880 is about 1589.6154126997.

The spelling of 4016762880 in words is "four billion, sixteen million, seven hundred sixty-two thousand, eight hundred eighty".