891444055040000 has 3360 divisors, whose sum is σ = 3049538435328000. Its totient is φ = 254007705600000.

The previous prime is 891444055039999. The next prime is 891444055040051. The reversal of 891444055040000 is 40550444198.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2554280959826 + ... + 2554280960174.

It is an arithmetic number, because the mean of its divisors is an integer number (907600724800).

Almost surely, 2^{891444055040000} is an apocalyptic number.

891444055040000 is a gapful number since it is divisible by the number (80) 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 891444055040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524769217664000).

891444055040000 is an abundant number, since it is smaller than the sum of its proper divisors (2158094380288000).

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

891444055040000 is a wasteful number, since it uses less digits than its factorization.

891444055040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 891444055040000 in words is "eight hundred ninety-one trillion, four hundred forty-four billion, fifty-five million, forty thousand".