44970513120 has 576 divisors, whose sum is σ = 172649340864. Its totient is φ = 10988421120.

The previous prime is 44970513059. The next prime is 44970513131. The reversal of 44970513120 is 2131507944.

44970513120 is a `hidden beast` number, since 44 + 97 + 0 + 513 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97549690 + ... + 97550150.

It is an arithmetic number, because the mean of its divisors is an integer number (299738439).

Almost surely, 2^44970513120 is an apocalyptic number.

44970513120 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 44970513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86324670432).

44970513120 is an abundant number, since it is smaller than the sum of its proper divisors (127678827744).

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

44970513120 is a wasteful number, since it uses less digits than its factorization.

44970513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 44970513120 in words is "forty-four billion, nine hundred seventy million, five hundred thirteen thousand, one hundred twenty".