1418442829440 has 512 divisors, whose sum is σ = 5857550899200. Its totient is φ = 283523825664.

The previous prime is 1418442829429. The next prime is 1418442829481. The reversal of 1418442829440 is 449282448141.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3106039 + ... + 3533321.

It is an arithmetic number, because the mean of its divisors is an integer number (11440529100).

Almost surely, 2^{1418442829440} is an apocalyptic number.

1418442829440 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 1418442829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928775449600).

1418442829440 is an abundant number, since it is smaller than the sum of its proper divisors (4439108069760).

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

1418442829440 is a wasteful number, since it uses less digits than its factorization.

1418442829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427344 (or 427332 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 1418442829440 in words is "one trillion, four hundred eighteen billion, four hundred forty-two million, eight hundred twenty-nine thousand, four hundred forty".