10449474048000 has 2496 divisors, whose sum is σ = 44472698210304. Its totient is φ = 2335703040000.

The previous prime is 10449474047951. The next prime is 10449474048029. The reversal of 10449474048000 is 84047494401.

10449474048000 is a `hidden beast` number, since 1 + 0 + 44 + 94 + 7 + 40 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31569407835 + ... + 31569408165.

It is an arithmetic number, because the mean of its divisors is an integer number (17817587424).

Almost surely, 2^{10449474048000} is an apocalyptic number.

10449474048000 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 10449474048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22236349105152).

10449474048000 is an abundant number, since it is smaller than the sum of its proper divisors (34023224162304).

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

10449474048000 is a wasteful number, since it uses less digits than its factorization.

10449474048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10449474048000 in words is "ten trillion, four hundred forty-nine billion, four hundred seventy-four million, forty-eight thousand".