1004277479040 has 384 divisors, whose sum is σ = 3854552158080. Its totient is φ = 238866800640.

The previous prime is 1004277479027. The next prime is 1004277479057. The reversal of 1004277479040 is 409747724001.

1004277479040 is a `hidden beast` number, since 100 + 4 + 2 + 77 + 479 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208549 + ... + 3507611.

It is an arithmetic number, because the mean of its divisors is an integer number (10037896245).

Almost surely, 2^{1004277479040} is an apocalyptic number.

1004277479040 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 1004277479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927276079040).

1004277479040 is an abundant number, since it is smaller than the sum of its proper divisors (2850274679040).

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

1004277479040 is a wasteful number, since it uses less digits than its factorization.

1004277479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299152 (or 299137 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1004277479040 in words is "one trillion, four billion, two hundred seventy-seven million, four hundred seventy-nine thousand, forty".