1946001939840 has 1024 divisors, whose sum is σ = 8007568588800. Its totient is φ = 437476515840.

The previous prime is 1946001939781. The next prime is 1946001939841. The reversal of 1946001939840 is 489391006491.

It is a happy number.

1946001939840 is a `hidden beast` number, since 1 + 9 + 460 + 0 + 1 + 93 + 98 + 4 + 0 = 666.

It is a super-2 number, since 2×1946001939840² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1946001939841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2012411037 + ... + 2012412003.

It is an arithmetic number, because the mean of its divisors is an integer number (7819891200).

Almost surely, 2^{1946001939840} is an apocalyptic number.

1946001939840 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 1946001939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003784294400).

1946001939840 is an abundant number, since it is smaller than the sum of its proper divisors (6061566648960).

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

1946001939840 is a wasteful number, since it uses less digits than its factorization.

1946001939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1946001939840 in words is "one trillion, nine hundred forty-six billion, one million, nine hundred thirty-nine thousand, eight hundred forty".