1978319201040 has 1120 divisors, whose sum is σ = 8686061556480. Its totient is φ = 407649521664.

The previous prime is 1978319201021. The next prime is 1978319201041. The reversal of 1978319201040 is 401029138791.

1978319201040 is a `hidden beast` number, since 1 + 97 + 8 + 319 + 201 + 0 + 40 = 666.

It is a super-2 number, since 2×1978319201040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1978319201041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 228201826 + ... + 228210494.

It is an arithmetic number, because the mean of its divisors is an integer number (7755412104).

Almost surely, 2^{1978319201040} is an apocalyptic number.

1978319201040 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 1978319201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343030778240).

1978319201040 is an abundant number, since it is smaller than the sum of its proper divisors (6707742355440).

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

1978319201040 is a wasteful number, since it uses less digits than its factorization.

1978319201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1978319201040 in words is "one trillion, nine hundred seventy-eight billion, three hundred nineteen million, two hundred one thousand, forty".