44351601840 has 1120 divisors, whose sum is σ = 194814781056. Its totient is φ = 9137111040.

The previous prime is 44351601839. The next prime is 44351601911. The reversal of 44351601840 is 4810615344.

44351601840 is a `hidden beast` number, since 4 + 4 + 3 + 5 + 1 + 601 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44351601795 and 44351601804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 323734252 + ... + 323734388.

Almost surely, 2^44351601840 is an apocalyptic number.

44351601840 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 44351601840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97407390528).

44351601840 is an abundant number, since it is smaller than the sum of its proper divisors (150463179216).

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

44351601840 is a wasteful number, since it uses less digits than its factorization.

44351601840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 44351601840 in words is "forty-four billion, three hundred fifty-one million, six hundred one thousand, eight hundred forty".