1962323288640 has 2016 divisors, whose sum is σ = 8453404447488. Its totient is φ = 430280294400.

The previous prime is 1962323288603. The next prime is 1962323288641. The reversal of 1962323288640 is 468823232691.

1962323288640 is a `hidden beast` number, since 1 + 9 + 6 + 232 + 328 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1962323288641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7461305149 + ... + 7461305411.

It is an arithmetic number, because the mean of its divisors is an integer number (4193156968).

Almost surely, 2^{1962323288640} is an apocalyptic number.

1962323288640 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 1962323288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226702223744).

1962323288640 is an abundant number, since it is smaller than the sum of its proper divisors (6491081158848).

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

1962323288640 is a wasteful number, since it uses less digits than its factorization.

1962323288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1962323288640 in words is "one trillion, nine hundred sixty-two billion, three hundred twenty-three million, two hundred eighty-eight thousand, six hundred forty".