44131730454000 has 480 divisors, whose sum is σ = 176199330842496. Its totient is φ = 10084831948800.

The previous prime is 44131730453999. The next prime is 44131730454023. The reversal of 44131730454000 is 45403713144.

44131730454000 is a `hidden beast` number, since 4 + 4 + 131 + 73 + 0 + 454 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×44131730454000² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553982172 + ... + 554061828.

Almost surely, 2^{44131730454000} is an apocalyptic number.

44131730454000 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 44131730454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88099665421248).

44131730454000 is an abundant number, since it is smaller than the sum of its proper divisors (132067600388496).

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

44131730454000 is a wasteful number, since it uses less digits than its factorization.

44131730454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84090 (or 84071 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 44131730454000 in words is "forty-four trillion, one hundred thirty-one billion, seven hundred thirty million, four hundred fifty-four thousand".