1974427488000 has 1728 divisors, whose sum is σ = 8248149471744. Its totient is φ = 466145280000.

The previous prime is 1974427487951. The next prime is 1974427488031. The reversal of 1974427488000 is 8847244791.

1974427488000 is a `hidden beast` number, since 197 + 442 + 7 + 4 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3506975719 + ... + 3506976281.

It is an arithmetic number, because the mean of its divisors is an integer number (4773234648).

Almost surely, 2^{1974427488000} is an apocalyptic number.

1974427488000 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 1974427488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124074735872).

1974427488000 is an abundant number, since it is smaller than the sum of its proper divisors (6273721983744).

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

1974427488000 is an equidigital number, since it uses as much as digits as its factorization.

1974427488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1974427488000 in words is "one trillion, nine hundred seventy-four billion, four hundred twenty-seven million, four hundred eighty-eight thousand".