1471987974240 has 576 divisors, whose sum is σ = 6145453117440. Its totient is φ = 325599160320.

The previous prime is 1471987974139. The next prime is 1471987974277. The reversal of 1471987974240 is 424797891741.

1471987974240 is a `hidden beast` number, since 1 + 47 + 1 + 9 + 87 + 97 + 424 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8349726 + ... + 8524194.

It is an arithmetic number, because the mean of its divisors is an integer number (10669189440).

Almost surely, 2^{1471987974240} is an apocalyptic number.

1471987974240 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 1471987974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072726558720).

1471987974240 is an abundant number, since it is smaller than the sum of its proper divisors (4673465143200).

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

1471987974240 is a wasteful number, since it uses less digits than its factorization.

1471987974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174537 (or 174517 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 1471987974240 in words is "one trillion, four hundred seventy-one billion, nine hundred eighty-seven million, nine hundred seventy-four thousand, two hundred forty".