1942001360640 has 1440 divisors, whose sum is σ = 7962012495360. Its totient is φ = 447610060800.

The previous prime is 1942001360633. The next prime is 1942001360653. The reversal of 1942001360640 is 460631002491.

1942001360640 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 0 + 0 + 1 + 3 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1942001360640² (a number of 25 digits) contains 22 as substring.

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 = 1942001360595 and 1942001360604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2348247907 + ... + 2348248733.

It is an arithmetic number, because the mean of its divisors is an integer number (5529175344).

Almost surely, 2^{1942001360640} is an apocalyptic number.

1942001360640 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 1942001360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981006247680).

1942001360640 is an abundant number, since it is smaller than the sum of its proper divisors (6020011134720).

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

1942001360640 is a wasteful number, since it uses less digits than its factorization.

1942001360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1942001360640 in words is "one trillion, nine hundred forty-two billion, one million, three hundred sixty thousand, six hundred forty".