102042366943440 has 1920 divisors, whose sum is σ = 440619798528000. Its totient is φ = 19438523596800.

The previous prime is 102042366943427. The next prime is 102042366943441. The reversal of 102042366943440 is 44349663240201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102042366943440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102042366943441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5866855384 + ... + 5866872776.

It is an arithmetic number, because the mean of its divisors is an integer number (229489478400).

Almost surely, 2^{102042366943440} is an apocalyptic number.

102042366943440 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 102042366943440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220309899264000).

102042366943440 is an abundant number, since it is smaller than the sum of its proper divisors (338577431584560).

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

102042366943440 is a wasteful number, since it uses less digits than its factorization.

102042366943440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17502 (or 17471 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 102042366943440 in words is "one hundred two trillion, forty-two billion, three hundred sixty-six million, nine hundred forty-three thousand, four hundred forty".