44661100555600 has 240 divisors, whose sum is σ = 108385758581760. Its totient is φ = 17684531200000.

The previous prime is 44661100555517. The next prime is 44661100555613. The reversal of 44661100555600 is 655500116644.

It is a super-2 number, since 2×44661100555600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15042470916 + ... + 15042473884.

It is an arithmetic number, because the mean of its divisors is an integer number (451607327424).

Almost surely, 2^{44661100555600} is an apocalyptic number.

44661100555600 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 44661100555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54192879290880).

44661100555600 is an abundant number, since it is smaller than the sum of its proper divisors (63724658026160).

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

44661100555600 is a wasteful number, since it uses less digits than its factorization.

44661100555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 44661100555600 in words is "forty-four trillion, six hundred sixty-one billion, one hundred million, five hundred fifty-five thousand, six hundred".