44487897686400 has 384 divisors, whose sum is σ = 167546157788160. Its totient is φ = 10163743948800.

The previous prime is 44487897686387. The next prime is 44487897686423. The reversal of 44487897686400 is 468679878444.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (75).

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, 139684137 + ... + 140002263.

It is an arithmetic number, because the mean of its divisors is an integer number (436318119240).

Almost surely, 2^{44487897686400} is an apocalyptic number.

44487897686400 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 44487897686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83773078894080).

44487897686400 is an abundant number, since it is smaller than the sum of its proper divisors (123058260101760).

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

44487897686400 is a wasteful number, since it uses less digits than its factorization.

44487897686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320242 (or 320225 counting only the distinct ones).

The product of its (nonzero) digits is 2080899072, while the sum is 75.

The spelling of 44487897686400 in words is "forty-four trillion, four hundred eighty-seven billion, eight hundred ninety-seven million, six hundred eighty-six thousand, four hundred".