1004537827440 has 320 divisors, whose sum is σ = 3955516830720. Its totient is φ = 229542128640.

The previous prime is 1004537827393. The next prime is 1004537827451. The reversal of 1004537827440 is 447287354001.

1004537827440 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 5 + 378 + 274 + 4 + 0 = 666.

1004537827440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68138470 + ... + 68153210.

It is an arithmetic number, because the mean of its divisors is an integer number (12360990096).

Almost surely, 2^{1004537827440} is an apocalyptic number.

1004537827440 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 1004537827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977758415360).

1004537827440 is an abundant number, since it is smaller than the sum of its proper divisors (2950979003280).

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

1004537827440 is a wasteful number, since it uses less digits than its factorization.

1004537827440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19277 (or 19265 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 1004537827440 in words is "one trillion, four billion, five hundred thirty-seven million, eight hundred twenty-seven thousand, four hundred forty".