940893891840 has 2880 divisors, whose sum is σ = 4451949734400. Its totient is φ = 186934099968.

The previous prime is 940893891829. The next prime is 940893891911. The reversal of 940893891840 is 48198398049.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 32444616946 + ... + 32444616974.

It is an arithmetic number, because the mean of its divisors is an integer number (1545815880).

Almost surely, 2^940893891840 is an apocalyptic number.

940893891840 is a gapful number since it is divisible by the number (90) 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 940893891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225974867200).

940893891840 is an abundant number, since it is smaller than the sum of its proper divisors (3511055842560).

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

940893891840 is a wasteful number, since it uses less digits than its factorization.

940893891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 940893891840 in words is "nine hundred forty billion, eight hundred ninety-three million, eight hundred ninety-one thousand, eight hundred forty".