102440014030440 has 320 divisors, whose sum is σ = 349075426867200. Its totient is φ = 26940236663808.

The previous prime is 102440014030433. The next prime is 102440014030589. The reversal of 102440014030440 is 44030410044201.

102440014030440 is a `hidden beast` number, since 10 + 2 + 4 + 40 + 0 + 140 + 30 + 440 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 220661604 + ... + 221125356.

It is an arithmetic number, because the mean of its divisors is an integer number (1090860708960).

Almost surely, 2^{102440014030440} is an apocalyptic number.

102440014030440 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 102440014030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174537713433600).

102440014030440 is an abundant number, since it is smaller than the sum of its proper divisors (246635412836760).

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

102440014030440 is a wasteful number, since it uses less digits than its factorization.

102440014030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464718 (or 464705 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102440014030440 its reverse (44030410044201), we get a palindrome (146470424074641).

The spelling of 102440014030440 in words is "one hundred two trillion, four hundred forty billion, fourteen million, thirty thousand, four hundred forty".