4100928000 has 640 divisors, whose sum is σ = 15443011584. Its totient is φ = 958464000.

The previous prime is 4100927983. The next prime is 4100928067. The reversal of 4100928000 is 8290014.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4100928000² = 33635220922368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 77375974 + ... + 77376026.

Almost surely, 2^4100928000 is an apocalyptic number.

4100928000 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 4100928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721505792).

4100928000 is an abundant number, since it is smaller than the sum of its proper divisors (11342083584).

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

4100928000 is a wasteful number, since it uses less digits than its factorization.

4100928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4100928000 is about 64038.4884268828. The cubic root of 4100928000 is about 1600.6414095035.

The spelling of 4100928000 in words is "four billion, one hundred million, nine hundred twenty-eight thousand".