44029040400 has 300 divisors, whose sum is σ = 158648214912. Its totient is φ = 11694170880.

The previous prime is 44029040387. The next prime is 44029040411. The reversal of 44029040400 is 404092044.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×44029040400³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8518617 + ... + 8523783.

Almost surely, 2^44029040400 is an apocalyptic number.

44029040400 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 44029040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79324107456).

44029040400 is an abundant number, since it is smaller than the sum of its proper divisors (114619174512).

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

44029040400 is a wasteful number, since it uses less digits than its factorization.

44029040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

It can be divided in two parts, 440290 and 40400, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 44029040400 in words is "forty-four billion, twenty-nine million, forty thousand, four hundred".