4377479040000 has 1320 divisors, whose sum is σ = 17537687893440. Its totient is φ = 1042329600000.

The previous prime is 4377479039993. The next prime is 4377479040001. The reversal of 4377479040000 is 409747734.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is not an unprimeable number, because it can be changed into a prime (4377479040001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3738239415 + ... + 3738240585.

It is an arithmetic number, because the mean of its divisors is an integer number (13286127192).

Almost surely, 2^{4377479040000} is an apocalyptic number.

4377479040000 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 4377479040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768843946720).

4377479040000 is an abundant number, since it is smaller than the sum of its proper divisors (13160208853440).

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

4377479040000 is a wasteful number, since it uses less digits than its factorization.

4377479040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 4377479040000 in words is "four trillion, three hundred seventy-seven billion, four hundred seventy-nine million, forty thousand".