1004899432320 has 1152 divisors, whose sum is σ = 4265291796480. Its totient is φ = 217031270400.

The previous prime is 1004899432297. The next prime is 1004899432331. The reversal of 1004899432320 is 232349984001.

1004899432320 is a `hidden beast` number, since 100 + 4 + 8 + 99 + 432 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 376224585 + ... + 376227255.

It is an arithmetic number, because the mean of its divisors is an integer number (3702510240).

Almost surely, 2^{1004899432320} is an apocalyptic number.

1004899432320 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 1004899432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132645898240).

1004899432320 is an abundant number, since it is smaller than the sum of its proper divisors (3260392364160).

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

1004899432320 is a wasteful number, since it uses less digits than its factorization.

1004899432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1004899432320 in words is "one trillion, four billion, eight hundred ninety-nine million, four hundred thirty-two thousand, three hundred twenty".