1941871288896 has 1176 divisors, whose sum is σ = 7533452869056. Its totient is φ = 490515056640.

The previous prime is 1941871288891. The next prime is 1941871288897. The reversal of 1941871288896 is 6988821781491.

1941871288896 is a `hidden beast` number, since 1 + 9 + 418 + 7 + 128 + 8 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×1941871288896² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1941871288891) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 930459565 + ... + 930461651.

Almost surely, 2^{1941871288896} is an apocalyptic number.

1941871288896 is a gapful number since it is divisible by the number (16) 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 1941871288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766726434528).

1941871288896 is an abundant number, since it is smaller than the sum of its proper divisors (5591581580160).

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

1941871288896 is a wasteful number, since it uses less digits than its factorization.

1941871288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2147 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 72.

The spelling of 1941871288896 in words is "one trillion, nine hundred forty-one billion, eight hundred seventy-one million, two hundred eighty-eight thousand, eight hundred ninety-six".