190869748145440 has 864 divisors, whose sum is σ = 577882137176064. Its totient is φ = 59365774540800.

The previous prime is 190869748145429. The next prime is 190869748145473. The reversal of 190869748145440 is 44541847968091.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 190869748145440.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18004876140 + ... + 18004886740.

It is an arithmetic number, because the mean of its divisors is an integer number (668845066176).

Almost surely, 2^{190869748145440} is an apocalyptic number.

190869748145440 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 190869748145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288941068588032).

190869748145440 is an abundant number, since it is smaller than the sum of its proper divisors (387012389030624).

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

190869748145440 is a wasteful number, since it uses less digits than its factorization.

190869748145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 70.

The spelling of 190869748145440 in words is "one hundred ninety trillion, eight hundred sixty-nine billion, seven hundred forty-eight million, one hundred forty-five thousand, four hundred forty".