18434867023440 has 320 divisors, whose sum is σ = 72630517777920. Its totient is φ = 4210111918080.

The previous prime is 18434867023423. The next prime is 18434867023457. The reversal of 18434867023440 is 4432076843481.

18434867023440 is a `hidden beast` number, since 1 + 8 + 4 + 34 + 86 + 70 + 23 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (18434867023423) and next prime (18434867023457).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17340532 + ... + 18372908.

It is an arithmetic number, because the mean of its divisors is an integer number (226970368056).

Almost surely, 2^{18434867023440} is an apocalyptic number.

18434867023440 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 18434867023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36315258888960).

18434867023440 is an abundant number, since it is smaller than the sum of its proper divisors (54195650754480).

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

18434867023440 is a wasteful number, since it uses less digits than its factorization.

18434867023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033587 (or 1033575 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 18434867023440 in words is "eighteen trillion, four hundred thirty-four billion, eight hundred sixty-seven million, twenty-three thousand, four hundred forty".