1940073427152 has 360 divisors, whose sum is σ = 6568879044000. Its totient is φ = 552699479808.

The previous prime is 1940073427109. The next prime is 1940073427153. The reversal of 1940073427152 is 2517243700491.

1940073427152 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 0 + 73 + 427 + 152 = 666.

It is a super-2 number, since 2×1940073427152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1940073427098 and 1940073427107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940073427153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66474099 + ... + 66503277.

Almost surely, 2^{1940073427152} is an apocalyptic number.

1940073427152 is a gapful number since it is divisible by the number (12) 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 1940073427152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284439522000).

1940073427152 is an abundant number, since it is smaller than the sum of its proper divisors (4628805616848).

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

1940073427152 is a wasteful number, since it uses less digits than its factorization.

1940073427152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29565 (or 29540 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1940073427152 in words is "one trillion, nine hundred forty billion, seventy-three million, four hundred twenty-seven thousand, one hundred fifty-two".