1901944339680 has 1152 divisors, whose sum is σ = 7903291253760. Its totient is φ = 373436743680.

The previous prime is 1901944339679. The next prime is 1901944339693. The reversal of 1901944339680 is 869334491091.

It is a self number, because there is not a number n which added to its sum of digits gives 1901944339680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1740113214 + ... + 1740114306.

It is an arithmetic number, because the mean of its divisors is an integer number (6860495880).

Almost surely, 2^{1901944339680} is an apocalyptic number.

1901944339680 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 1901944339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951645626880).

1901944339680 is an abundant number, since it is smaller than the sum of its proper divisors (6001346914080).

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

1901944339680 is a wasteful number, since it uses less digits than its factorization.

1901944339680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 1901944339680 in words is "one trillion, nine hundred one billion, nine hundred forty-four million, three hundred thirty-nine thousand, six hundred eighty".