102440013214000 has 1280 divisors, whose sum is σ = 329236984627200. Its totient is φ = 29882012160000.

The previous prime is 102440013213973. The next prime is 102440013214001. The reversal of 102440013214000 is 412310044201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (102440013214001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112447873545 + ... + 112447874455.

It is an arithmetic number, because the mean of its divisors is an integer number (257216394240).

Almost surely, 2^{102440013214000} is an apocalyptic number.

102440013214000 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 102440013214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164618492313600).

102440013214000 is an abundant number, since it is smaller than the sum of its proper divisors (226796971413200).

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

102440013214000 is a wasteful number, since it uses less digits than its factorization.

102440013214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102440013214000 its reverse (412310044201), we get a palindrome (102852323258201).

The spelling of 102440013214000 in words is "one hundred two trillion, four hundred forty billion, thirteen million, two hundred fourteen thousand".