1478396874240 has 960 divisors, whose sum is σ = 6223051074240. Its totient is φ = 319401492480.

The previous prime is 1478396874203. The next prime is 1478396874259. The reversal of 1478396874240 is 424786938741.

1478396874240 is a `hidden beast` number, since 1 + 47 + 8 + 3 + 96 + 87 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 95539144 + ... + 95554616.

It is an arithmetic number, because the mean of its divisors is an integer number (6482344869).

Almost surely, 2^{1478396874240} is an apocalyptic number.

1478396874240 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 1478396874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111525537120).

1478396874240 is an abundant number, since it is smaller than the sum of its proper divisors (4744654200000).

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

1478396874240 is a wasteful number, since it uses less digits than its factorization.

1478396874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555 (or 15536 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 1478396874240 in words is "one trillion, four hundred seventy-eight billion, three hundred ninety-six million, eight hundred seventy-four thousand, two hundred forty".