4406178828100 has 243 divisors, whose sum is σ = 11252662015959. Its totient is φ = 1493208662400.

The previous prime is 4406178828071. The next prime is 4406178828127. The reversal of 4406178828100 is 18288716044.

The square root of 4406178828100 is 2099090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 532902920004 + 3873275908096 = 730002^2 + 1968064^2 .

It is a super-2 number, since 2×4406178828100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23068999005 + ... + 23068999195.

Almost surely, 2^{4406178828100} is an apocalyptic number.

4406178828100 is the 2099090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4406178828100

4406178828100 is an abundant number, since it is smaller than the sum of its proper divisors (6846483187859).

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

4406178828100 is a wasteful number, since it uses less digits than its factorization.

4406178828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

Multiplying 4406178828100 by its sum of digits (49), we get a square (215902762576900 = 14693630²).

4406178828100 divided by its sum of digits (49) gives a square (89922016900 = 299870²).

It can be divided in two parts, 44061 and 78828100, that added together give a square (78872161 = 8881²).

The spelling of 4406178828100 in words is "four trillion, four hundred six billion, one hundred seventy-eight million, eight hundred twenty-eight thousand, one hundred".