1941909138576 has 1215 divisors, whose sum is σ = 6888363762553. Its totient is φ = 529762083840.

The previous prime is 1941909138557. The next prime is 1941909138583. The reversal of 1941909138576 is 6758319091491.

The square root of 1941909138576 is 1393524.

It is a perfect power (a square), and thus also a powerful number.

1941909138576 is a `hidden beast` number, since 1 + 9 + 41 + 9 + 0 + 9 + 13 + 8 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1511866976400 + 430042162176 = 1229580^2 + 655776^2 .

It is a super-2 number, since 2×1941909138576² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 84430832101 + ... + 84430832123.

Almost surely, 2^{1941909138576} is an apocalyptic number.

1941909138576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1941909138576 is the 1393524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1941909138576

1941909138576 is an abundant number, since it is smaller than the sum of its proper divisors (4946454623977).

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

1941909138576 is an equidigital number, since it uses as much as digits as its factorization.

1941909138576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 1941909138576 in words is "one trillion, nine hundred forty-one billion, nine hundred nine million, one hundred thirty-eight thousand, five hundred seventy-six".