4396967961600 has 528 divisors, whose sum is σ = 15469395163200. Its totient is φ = 1098299473920.

The previous prime is 4396967961593. The next prime is 4396967961613. The reversal of 4396967961600 is 61697696934.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129851872 + ... + 129885728.

It is an arithmetic number, because the mean of its divisors is an integer number (29298096900).

Almost surely, 2^{4396967961600} is an apocalyptic number.

4396967961600 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 4396967961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734697581600).

4396967961600 is an abundant number, since it is smaller than the sum of its proper divisors (11072427201600).

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

4396967961600 is a wasteful number, since it uses less digits than its factorization.

4396967961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33998 (or 33975 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 66.

The spelling of 4396967961600 in words is "four trillion, three hundred ninety-six billion, nine hundred sixty-seven million, nine hundred sixty-one thousand, six hundred".