4398577223040 has 3072 divisors, whose sum is σ = 21744068198400. Its totient is φ = 815173632000.

The previous prime is 4398577223023. The next prime is 4398577223041. The reversal of 4398577223040 is 403227758934.

It is a happy number.

4398577223040 is a `hidden beast` number, since 4 + 3 + 9 + 8 + 577 + 2 + 23 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4398577223041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6970803525 + ... + 6970804155.

It is an arithmetic number, because the mean of its divisors is an integer number (7078147200).

Almost surely, 2^{4398577223040} is an apocalyptic number.

4398577223040 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 4398577223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872034099200).

4398577223040 is an abundant number, since it is smaller than the sum of its proper divisors (17345490975360).

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

4398577223040 is a wasteful number, since it uses less digits than its factorization.

4398577223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4398577223040 in words is "four trillion, three hundred ninety-eight billion, five hundred seventy-seven million, two hundred twenty-three thousand, forty".