1940831264960 has 224 divisors, whose sum is σ = 5500487319552. Its totient is φ = 638261084160.

The previous prime is 1940831264941. The next prime is 1940831264987. The reversal of 1940831264960 is 694621380491.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7723049 + ... + 7970391.

Almost surely, 2^{1940831264960} is an apocalyptic number.

1940831264960 is a gapful number since it is divisible by the number (10) 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 1940831264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750243659776).

1940831264960 is an abundant number, since it is smaller than the sum of its proper divisors (3559656054592).

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

1940831264960 is a wasteful number, since it uses less digits than its factorization.

1940831264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247511 (or 247501 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 1940831264960 in words is "one trillion, nine hundred forty billion, eight hundred thirty-one million, two hundred sixty-four thousand, nine hundred sixty".