102128401408 has 264 divisors, whose sum is σ = 239356037520. Its totient is φ = 43182981120.

The previous prime is 102128401367. The next prime is 102128401409. The reversal of 102128401408 is 804104821201.

It is a self number, because there is not a number n which added to its sum of digits gives 102128401408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102128401409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445975438 + ... + 445975666.

Almost surely, 2^102128401408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102128401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119678018760).

102128401408 is an abundant number, since it is smaller than the sum of its proper divisors (137227636112).

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

102128401408 is a wasteful number, since it uses less digits than its factorization.

102128401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The spelling of 102128401408 in words is "one hundred two billion, one hundred twenty-eight million, four hundred one thousand, four hundred eight".