102440920866912 has 576 divisors, whose sum is σ = 321234207840000. Its totient is φ = 32022765877248.

The previous prime is 102440920866793. The next prime is 102440920866929. The reversal of 102440920866912 is 219668029044201.

102440920866912 is a `hidden beast` number, since 1 + 0 + 24 + 409 + 208 + 6 + 6 + 9 + 1 + 2 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7167202038 + ... + 7167216330.

It is an arithmetic number, because the mean of its divisors is an integer number (557698277500).

Almost surely, 2^{102440920866912} is an apocalyptic number.

102440920866912 is a gapful number since it is divisible by the number (12) 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 102440920866912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160617103920000).

102440920866912 is an abundant number, since it is smaller than the sum of its proper divisors (218793286973088).

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

102440920866912 is a wasteful number, since it uses less digits than its factorization.

102440920866912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14805 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 102440920866912 in words is "one hundred two trillion, four hundred forty billion, nine hundred twenty million, eight hundred sixty-six thousand, nine hundred twelve".