1961020218240 has 192 divisors, whose sum is σ = 6774504562800. Its totient is φ = 522718126080.

The previous prime is 1961020218239. The next prime is 1961020218271. The reversal of 1961020218240 is 428120201691.

1961020218240 is a `hidden beast` number, since 1 + 9 + 610 + 2 + 0 + 2 + 18 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1961020218195 and 1961020218204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13816756 + ... + 13957964.

Almost surely, 2^{1961020218240} is an apocalyptic number.

1961020218240 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 1961020218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387252281400).

1961020218240 is an abundant number, since it is smaller than the sum of its proper divisors (4813484344560).

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

1961020218240 is a wasteful number, since it uses less digits than its factorization.

1961020218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143645 (or 143630 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1961020218240 in words is "one trillion, nine hundred sixty-one billion, twenty million, two hundred eighteen thousand, two hundred forty".