1000229005440 has 1280 divisors, whose sum is σ = 4472266867200. Its totient is φ = 207718318080.

The previous prime is 1000229005427. The next prime is 1000229005453. The reversal of 1000229005440 is 445009220001.

1000229005440 is a `hidden beast` number, since 10 + 0 + 0 + 22 + 90 + 0 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1000229005427) and next prime (1000229005453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 178897045 + ... + 178902635.

It is an arithmetic number, because the mean of its divisors is an integer number (3493958490).

Almost surely, 2^{1000229005440} is an apocalyptic number.

1000229005440 is a gapful number since it is divisible by the number (10) 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 1000229005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236133433600).

1000229005440 is an abundant number, since it is smaller than the sum of its proper divisors (3472037861760).

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

1000229005440 is a wasteful number, since it uses less digits than its factorization.

1000229005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1000229005440 in words is "one trillion, two hundred twenty-nine million, five thousand, four hundred forty".