44954600400000 has 3072 divisors, whose sum is σ = 186036092928000. Its totient is φ = 10637568000000.

The previous prime is 44954600399983. The next prime is 44954600400089. The reversal of 44954600400000 is 400645944.

44954600400000 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 4 + 600 + 40 + 0 + 0 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 235364399905 + ... + 235364400095.

It is an arithmetic number, because the mean of its divisors is an integer number (60558624000).

Almost surely, 2^{44954600400000} is an apocalyptic number.

44954600400000 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 44954600400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93018046464000).

44954600400000 is an abundant number, since it is smaller than the sum of its proper divisors (141081492528000).

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

44954600400000 is a wasteful number, since it uses less digits than its factorization.

44954600400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 44954600400000 in words is "forty-four trillion, nine hundred fifty-four billion, six hundred million, four hundred thousand".