4429948046400 has 1008 divisors, whose sum is σ = 17526130113024. Its totient is φ = 1055543132160.

The previous prime is 4429948046399. The next prime is 4429948046533. The reversal of 4429948046400 is 46408499244.

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 143 ways as a sum of consecutive naturals, for example, 771361929 + ... + 771367671.

Almost surely, 2^{4429948046400} is an apocalyptic number.

4429948046400 is a gapful number since it is divisible by the number (40) 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 4429948046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763065056512).

4429948046400 is an abundant number, since it is smaller than the sum of its proper divisors (13096182066624).

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

4429948046400 is a wasteful number, since it uses less digits than its factorization.

4429948046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4429948046400 in words is "four trillion, four hundred twenty-nine billion, nine hundred forty-eight million, forty-six thousand, four hundred".