4399157917440 has 2304 divisors, whose sum is σ = 19030400040960. Its totient is φ = 948109639680.

The previous prime is 4399157917439. The next prime is 4399157917457. The reversal of 4399157917440 is 447197519934.

4399157917440 is a `hidden beast` number, since 4 + 3 + 9 + 9 + 1 + 579 + 17 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26988698799 + ... + 26988698961.

It is an arithmetic number, because the mean of its divisors is an integer number (8259722240).

Almost surely, 2^{4399157917440} is an apocalyptic number.

4399157917440 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 4399157917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515200020480).

4399157917440 is an abundant number, since it is smaller than the sum of its proper divisors (14631242123520).

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

4399157917440 is a wasteful number, since it uses less digits than its factorization.

4399157917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 4399157917440 in words is "four trillion, three hundred ninety-nine billion, one hundred fifty-seven million, nine hundred seventeen thousand, four hundred forty".