1974117640320 has 1280 divisors, whose sum is σ = 8397496800000. Its totient is φ = 432399679488.

The previous prime is 1974117640283. The next prime is 1974117640333. The reversal of 1974117640320 is 230467114791.

It is a happy number.

1974117640320 is a `hidden beast` number, since 1 + 9 + 74 + 1 + 176 + 403 + 2 + 0 = 666.

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

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, 1568003851 + ... + 1568005109.

It is an arithmetic number, because the mean of its divisors is an integer number (6560544375).

Almost surely, 2^{1974117640320} is an apocalyptic number.

1974117640320 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 1974117640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198748400000).

1974117640320 is an abundant number, since it is smaller than the sum of its proper divisors (6423379159680).

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

1974117640320 is a wasteful number, since it uses less digits than its factorization.

1974117640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1974117640320 in words is "one trillion, nine hundred seventy-four billion, one hundred seventeen million, six hundred forty thousand, three hundred twenty".