4091962560 has 672 divisors, whose sum is σ = 16468953600. Its totient is φ = 859815936.

The previous prime is 4091962541. The next prime is 4091962621. The reversal of 4091962560 is 652691904.

It is a happy number.

4091962560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95161899 + ... + 95161941.

Almost surely, 2^4091962560 is an apocalyptic number.

4091962560 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 4091962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234476800).

4091962560 is an abundant number, since it is smaller than the sum of its proper divisors (12376991040).

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

4091962560 is a wasteful number, since it uses less digits than its factorization.

4091962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 4091962560 is about 63968.4497232816. The cubic root of 4091962560 is about 1599.4741188412.

The spelling of 4091962560 in words is "four billion, ninety-one million, nine hundred sixty-two thousand, five hundred sixty".