4101926400 has 960 divisors, whose sum is σ = 17901354240. Its totient is φ = 906854400.

The previous prime is 4101926341. The next prime is 4101926407. The reversal of 4101926400 is 46291014.

4101926400 is a `hidden beast` number, since 4 + 1 + 0 + 19 + 2 + 640 + 0 = 666.

4101926400 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 (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101926407) 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, 49420759 + ... + 49420841.

It is an arithmetic number, because the mean of its divisors is an integer number (18647244).

Almost surely, 2^4101926400 is an apocalyptic number.

4101926400 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 4101926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950677120).

4101926400 is an abundant number, since it is smaller than the sum of its proper divisors (13799427840).

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

4101926400 is a wasteful number, since it uses less digits than its factorization.

4101926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4101926400 is about 64046.2832645268. The cubic root of 4101926400 is about 1600.7712947971.

The spelling of 4101926400 in words is "four billion, one hundred one million, nine hundred twenty-six thousand, four hundred".