1477131085440 has 640 divisors, whose sum is σ = 5364445363200. Its totient is φ = 387286106112.

The previous prime is 1477131085427. The next prime is 1477131085519. The reversal of 1477131085440 is 445801317741.

1477131085440 is a `hidden beast` number, since 1 + 4 + 7 + 71 + 31 + 0 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 839755281 + ... + 839757039.

It is an arithmetic number, because the mean of its divisors is an integer number (8381945880).

Almost surely, 2^{1477131085440} is an apocalyptic number.

1477131085440 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 1477131085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682222681600).

1477131085440 is an abundant number, since it is smaller than the sum of its proper divisors (3887314277760).

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

1477131085440 is a wasteful number, since it uses less digits than its factorization.

1477131085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1477131085440 in words is "one trillion, four hundred seventy-seven billion, one hundred thirty-one million, eighty-five thousand, four hundred forty".