44052070400 has 180 divisors, whose sum is σ = 117663544572. Its totient is φ = 16263413760.

The previous prime is 44052070397. The next prime is 44052070409. The reversal of 44052070400 is 407025044.

It can be written as a sum of positive squares in 6 ways, for example, as 1741225984 + 42310844416 = 41728^2 + 205696^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 44052070400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44052070409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5320664 + ... + 5328936.

Almost surely, 2^44052070400 is an apocalyptic number.

44052070400 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 44052070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58831772286).

44052070400 is an abundant number, since it is smaller than the sum of its proper divisors (73611474172).

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

44052070400 is an equidigital number, since it uses as much as digits as its factorization.

44052070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

Adding to 44052070400 its reverse (407025044), we get a palindrome (44459095444).

The spelling of 44052070400 in words is "forty-four billion, fifty-two million, seventy thousand, four hundred".