44450078400 has 840 divisors, whose sum is σ = 201145424480. Its totient is φ = 9375989760.

The previous prime is 44450078357. The next prime is 44450078411. The reversal of 44450078400 is 487005444.

44450078400 is a `hidden beast` number, since 4 + 44 + 500 + 78 + 40 + 0 = 666.

44450078400 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 (840).

It is a super-2 number, since 2×44450078400² (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 119 ways as a sum of consecutive naturals, for example, 11791716 + ... + 11795484.

Almost surely, 2^44450078400 is an apocalyptic number.

44450078400 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 44450078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100572712240).

44450078400 is an abundant number, since it is smaller than the sum of its proper divisors (156695346080).

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

44450078400 is a wasteful number, since it uses less digits than its factorization.

44450078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 44450078400 in words is "forty-four billion, four hundred fifty million, seventy-eight thousand, four hundred".