44478810000 has 675 divisors, whose sum is σ = 168723335781. Its totient is φ = 10933056000.

The previous prime is 44478809989. The next prime is 44478810049. The reversal of 44478810000 is 1887444.

It is a happy number.

The square root of 44478810000 is 210900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 14768082576 + 29710727424 = 121524^2 + 172368^2 .

It is a super-2 number, since 2×44478810000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1202129982 + ... + 1202130018.

Almost surely, 2^44478810000 is an apocalyptic number.

44478810000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44478810000 is the 210900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44478810000

44478810000 is an abundant number, since it is smaller than the sum of its proper divisors (124244525781).

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

44478810000 is a wasteful number, since it uses less digits than its factorization.

44478810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Multiplying 44478810000 by its sum of digits (36), we get a square (1601237160000 = 1265400²).

44478810000 divided by its sum of digits (36) gives a square (1235522500 = 35150²).

The spelling of 44478810000 in words is "forty-four billion, four hundred seventy-eight million, eight hundred ten thousand".