44980135200 has 1296 divisors, whose sum is σ = 215690319936. Its totient is φ = 8518348800.

The previous prime is 44980135199. The next prime is 44980135231. The reversal of 44980135200 is 253108944.

44980135200 is a `hidden beast` number, since 4 + 49 + 80 + 13 + 520 + 0 = 666.

It is a super-2 number, since 2×44980135200² (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 215 ways as a sum of consecutive naturals, for example, 569368761 + ... + 569368839.

It is an arithmetic number, because the mean of its divisors is an integer number (166427716).

Almost surely, 2^44980135200 is an apocalyptic number.

44980135200 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 44980135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107845159968).

44980135200 is an abundant number, since it is smaller than the sum of its proper divisors (170710184736).

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

44980135200 is a wasteful number, since it uses less digits than its factorization.

44980135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 44980135200 in words is "forty-four billion, nine hundred eighty million, one hundred thirty-five thousand, two hundred".