1918872779040 has 1152 divisors, whose sum is σ = 8151264576000. Its totient is φ = 409677004800.

The previous prime is 1918872779017. The next prime is 1918872779053. The reversal of 1918872779040 is 409772788191.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 685065640 + ... + 685068440.

It is an arithmetic number, because the mean of its divisors is an integer number (7075750500).

Almost surely, 2^{1918872779040} is an apocalyptic number.

1918872779040 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 1918872779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075632288000).

1918872779040 is an abundant number, since it is smaller than the sum of its proper divisors (6232391796960).

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

1918872779040 is a wasteful number, since it uses less digits than its factorization.

1918872779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 1918872779040 in words is "one trillion, nine hundred eighteen billion, eight hundred seventy-two million, seven hundred seventy-nine thousand, forty".