940610119680 has 3072 divisors, whose sum is σ = 4646489702400. Its totient is φ = 174399160320.

The previous prime is 940610119679. The next prime is 940610119711. The reversal of 940610119680 is 86911016049.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8323983304 + ... + 8323983416.

It is an arithmetic number, because the mean of its divisors is an integer number (1512529200).

Almost surely, 2^940610119680 is an apocalyptic number.

940610119680 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 940610119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323244851200).

940610119680 is an abundant number, since it is smaller than the sum of its proper divisors (3705879582720).

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

940610119680 is a wasteful number, since it uses less digits than its factorization.

940610119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 940610119680 in words is "nine hundred forty billion, six hundred ten million, one hundred nineteen thousand, six hundred eighty".