1974413387520 has 1440 divisors, whose sum is σ = 8571735406080. Its totient is φ = 423890288640.

The previous prime is 1974413387497. The next prime is 1974413387561. The reversal of 1974413387520 is 257833144791.

1974413387520 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 4 + 1 + 33 + 87 + 520 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1806416094 + ... + 1806417186.

It is an arithmetic number, because the mean of its divisors is an integer number (5952594032).

Almost surely, 2^{1974413387520} is an apocalyptic number.

1974413387520 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 1974413387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285867703040).

1974413387520 is an abundant number, since it is smaller than the sum of its proper divisors (6597322018560).

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

1974413387520 is a wasteful number, since it uses less digits than its factorization.

1974413387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1974413387520 in words is "one trillion, nine hundred seventy-four billion, four hundred thirteen million, three hundred eighty-seven thousand, five hundred twenty".